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Finding the Fourth Proportional to 9,808.15, 13,542.12 and 7,535.71

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Solution

The fourth proportional to 9,808.15, 13,542.12 and 7,535.71 is: 10,404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.15 : 13,542.12 = 7,535.71 : x
  2. Step 2: Convert to fraction form
    9,808.15/13,542.12 = 7,535.71/x
  3. Step 3: Cross multiply
    9,808.15x = 13,542.12 × 7,535.71
  4. Step 4: Simplify right side
    9,808.15x = 102,049,489.11
  5. Step 5: Solve for x
    x = 102,049,489.11/9,808.15
  6. Step 6: Final answer
    x = 10,404.56

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Half scale
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Double scale
Find fourth proportional to 9,809.15, 13,543.50 and 7,536.71
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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.