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Finding the Fourth Proportional to 9,811.68, 13,545.14 and 7,568.52

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Solution

The fourth proportional to 9,811.68, 13,545.14 and 7,568.52 is: 10,448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.68 : 13,545.14 = 7,568.52 : x
  2. Step 2: Convert to fraction form
    9,811.68/13,545.14 = 7,568.52/x
  3. Step 3: Cross multiply
    9,811.68x = 13,545.14 × 7,568.52
  4. Step 4: Simplify right side
    9,811.68x = 102,516,625.15
  5. Step 5: Solve for x
    x = 102,516,625.15/9,811.68
  6. Step 6: Final answer
    x = 10,448.43

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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.