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Finding the Fourth Proportional to 9,503.84, 13,115.49 and 5,255.24

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Solution

The fourth proportional to 9,503.84, 13,115.49 and 5,255.24 is: 7,252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.84 : 13,115.49 = 5,255.24 : x
  2. Step 2: Convert to fraction form
    9,503.84/13,115.49 = 5,255.24/x
  3. Step 3: Cross multiply
    9,503.84x = 13,115.49 × 5,255.24
  4. Step 4: Simplify right side
    9,503.84x = 68,925,021.39
  5. Step 5: Solve for x
    x = 68,925,021.39/9,503.84
  6. Step 6: Final answer
    x = 7,252.34

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Half scale
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Double scale
Find fourth proportional to 9,504.84, 13,116.87 and 5,256.24
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.