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Finding the Fourth Proportional to 15,104.22, 20,853.92 and 9,446.98

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Solution

The fourth proportional to 15,104.22, 20,853.92 and 9,446.98 is: 13,043.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,104.22 : 20,853.92 = 9,446.98 : x
  2. Step 2: Convert to fraction form
    15,104.22/20,853.92 = 9,446.98/x
  3. Step 3: Cross multiply
    15,104.22x = 20,853.92 × 9,446.98
  4. Step 4: Simplify right side
    15,104.22x = 197,006,565.16
  5. Step 5: Solve for x
    x = 197,006,565.16/15,104.22
  6. Step 6: Final answer
    x = 13,043.15

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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.