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Finding the Fourth Proportional to 9,500.11, 13,113.81 and 8,503.63

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Solution

The fourth proportional to 9,500.11, 13,113.81 and 8,503.63 is: 11,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.11 : 13,113.81 = 8,503.63 : x
  2. Step 2: Convert to fraction form
    9,500.11/13,113.81 = 8,503.63/x
  3. Step 3: Cross multiply
    9,500.11x = 13,113.81 × 8,503.63
  4. Step 4: Simplify right side
    9,500.11x = 111,514,988.13
  5. Step 5: Solve for x
    x = 111,514,988.13/9,500.11
  6. Step 6: Final answer
    x = 11,738.28

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Half scale
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Double scale
Find fourth proportional to 9,501.11, 13,115.19 and 8,504.63
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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.