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Finding the Fourth Proportional to 24,900, 37,352.16 and 6,432

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Solution

The fourth proportional to 24,900, 37,352.16 and 6,432 is: 9,648.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,900 : 37,352.16 = 6,432 : x
  2. Step 2: Convert to fraction form
    24,900/37,352.16 = 6,432/x
  3. Step 3: Cross multiply
    24,900x = 37,352.16 × 6,432
  4. Step 4: Simplify right side
    24,900x = 240,249,093.12
  5. Step 5: Solve for x
    x = 240,249,093.12/24,900
  6. Step 6: Final answer
    x = 9,648.56

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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.