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Finding the Fourth Proportional to 9,503.19, 13,114.44 and 5,311.44

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Solution

The fourth proportional to 9,503.19, 13,114.44 and 5,311.44 is: 7,329.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.19 : 13,114.44 = 5,311.44 : x
  2. Step 2: Convert to fraction form
    9,503.19/13,114.44 = 5,311.44/x
  3. Step 3: Cross multiply
    9,503.19x = 13,114.44 × 5,311.44
  4. Step 4: Simplify right side
    9,503.19x = 69,656,561.19
  5. Step 5: Solve for x
    x = 69,656,561.19/9,503.19
  6. Step 6: Final answer
    x = 7,329.81

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Half scale
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Double scale
Find fourth proportional to 9,504.19, 13,115.82 and 5,312.44
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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.