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Finding the Fourth Proportional to 9,502.80, 14,254.20 and 2,577.30

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Solution

The fourth proportional to 9,502.80, 14,254.20 and 2,577.30 is: 3,865.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.80 : 14,254.20 = 2,577.30 : x
  2. Step 2: Convert to fraction form
    9,502.80/14,254.20 = 2,577.30/x
  3. Step 3: Cross multiply
    9,502.80x = 14,254.20 × 2,577.30
  4. Step 4: Simplify right side
    9,502.80x = 36,737,349.66
  5. Step 5: Solve for x
    x = 36,737,349.66/9,502.80
  6. Step 6: Final answer
    x = 3,865.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.