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Finding the Fourth Proportional to 15,818.72, 21,832 and 9,104.20

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Solution

The fourth proportional to 15,818.72, 21,832 and 9,104.20 is: 12,565.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,818.72 : 21,832 = 9,104.20 : x
  2. Step 2: Convert to fraction form
    15,818.72/21,832 = 9,104.20/x
  3. Step 3: Cross multiply
    15,818.72x = 21,832 × 9,104.20
  4. Step 4: Simplify right side
    15,818.72x = 198,762,894.40
  5. Step 5: Solve for x
    x = 198,762,894.40/15,818.72
  6. Step 6: Final answer
    x = 12,565.04

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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.