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Finding the Fourth Proportional to 14,565.66, 20,098.71 and 8,277.90

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Solution

The fourth proportional to 14,565.66, 20,098.71 and 8,277.90 is: 11,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565.66 : 20,098.71 = 8,277.90 : x
  2. Step 2: Convert to fraction form
    14,565.66/20,098.71 = 8,277.90/x
  3. Step 3: Cross multiply
    14,565.66x = 20,098.71 × 8,277.90
  4. Step 4: Simplify right side
    14,565.66x = 166,375,111.51
  5. Step 5: Solve for x
    x = 166,375,111.51/14,565.66
  6. Step 6: Final answer
    x = 11,422.42

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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.