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Finding the Fourth Proportional to 9,502.80, 14,254.20 and 7,429.20

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Solution

The fourth proportional to 9,502.80, 14,254.20 and 7,429.20 is: 11,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.80 : 14,254.20 = 7,429.20 : x
  2. Step 2: Convert to fraction form
    9,502.80/14,254.20 = 7,429.20/x
  3. Step 3: Cross multiply
    9,502.80x = 14,254.20 × 7,429.20
  4. Step 4: Simplify right side
    9,502.80x = 105,897,302.64
  5. Step 5: Solve for x
    x = 105,897,302.64/9,502.80
  6. Step 6: Final answer
    x = 11,143.80

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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.