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Finding the Fourth Proportional to 24,902.30, 37,358.04 and 7,132.21

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Solution

The fourth proportional to 24,902.30, 37,358.04 and 7,132.21 is: 10,699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,902.30 : 37,358.04 = 7,132.21 : x
  2. Step 2: Convert to fraction form
    24,902.30/37,358.04 = 7,132.21/x
  3. Step 3: Cross multiply
    24,902.30x = 37,358.04 × 7,132.21
  4. Step 4: Simplify right side
    24,902.30x = 266,445,386.47
  5. Step 5: Solve for x
    x = 266,445,386.47/24,902.30
  6. Step 6: Final answer
    x = 10,699.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.