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Finding the Fourth Proportional to 9,502.98, 14,254.32 and 3,660.90

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Solution

The fourth proportional to 9,502.98, 14,254.32 and 3,660.90 is: 5,491.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.98 : 14,254.32 = 3,660.90 : x
  2. Step 2: Convert to fraction form
    9,502.98/14,254.32 = 3,660.90/x
  3. Step 3: Cross multiply
    9,502.98x = 14,254.32 × 3,660.90
  4. Step 4: Simplify right side
    9,502.98x = 52,183,640.09
  5. Step 5: Solve for x
    x = 52,183,640.09/9,502.98
  6. Step 6: Final answer
    x = 5,491.29

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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.