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Finding the Fourth Proportional to 14,454.13, 19,942.65 and 9,077.15

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Solution

The fourth proportional to 14,454.13, 19,942.65 and 9,077.15 is: 12,523.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.13 : 19,942.65 = 9,077.15 : x
  2. Step 2: Convert to fraction form
    14,454.13/19,942.65 = 9,077.15/x
  3. Step 3: Cross multiply
    14,454.13x = 19,942.65 × 9,077.15
  4. Step 4: Simplify right side
    14,454.13x = 181,022,425.45
  5. Step 5: Solve for x
    x = 181,022,425.45/14,454.13
  6. Step 6: Final answer
    x = 12,523.92

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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.