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Finding the Fourth Proportional to 7,902.14, 10,906.01 and 7,642.52

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Solution

The fourth proportional to 7,902.14, 10,906.01 and 7,642.52 is: 10,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.14 : 10,906.01 = 7,642.52 : x
  2. Step 2: Convert to fraction form
    7,902.14/10,906.01 = 7,642.52/x
  3. Step 3: Cross multiply
    7,902.14x = 10,906.01 × 7,642.52
  4. Step 4: Simplify right side
    7,902.14x = 83,349,306.80
  5. Step 5: Solve for x
    x = 83,349,306.80/7,902.14
  6. Step 6: Final answer
    x = 10,547.68

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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.