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Finding the Fourth Proportional to 15,963.48, 23,929.92 and 7,641.30

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Solution

The fourth proportional to 15,963.48, 23,929.92 and 7,641.30 is: 11,454.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,963.48 : 23,929.92 = 7,641.30 : x
  2. Step 2: Convert to fraction form
    15,963.48/23,929.92 = 7,641.30/x
  3. Step 3: Cross multiply
    15,963.48x = 23,929.92 × 7,641.30
  4. Step 4: Simplify right side
    15,963.48x = 182,855,697.70
  5. Step 5: Solve for x
    x = 182,855,697.70/15,963.48
  6. Step 6: Final answer
    x = 11,454.63

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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.