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Finding the Fourth Proportional to 14,691.92, 20,274.63 and 7,977.74

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Solution

The fourth proportional to 14,691.92, 20,274.63 and 7,977.74 is: 11,009.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691.92 : 20,274.63 = 7,977.74 : x
  2. Step 2: Convert to fraction form
    14,691.92/20,274.63 = 7,977.74/x
  3. Step 3: Cross multiply
    14,691.92x = 20,274.63 × 7,977.74
  4. Step 4: Simplify right side
    14,691.92x = 161,745,726.74
  5. Step 5: Solve for x
    x = 161,745,726.74/14,691.92
  6. Step 6: Final answer
    x = 11,009.16

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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.