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Finding the Fourth Proportional to 9,452, 13,044.80 and 5,726.08

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Solution

The fourth proportional to 9,452, 13,044.80 and 5,726.08 is: 7,902.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452 : 13,044.80 = 5,726.08 : x
  2. Step 2: Convert to fraction form
    9,452/13,044.80 = 5,726.08/x
  3. Step 3: Cross multiply
    9,452x = 13,044.80 × 5,726.08
  4. Step 4: Simplify right side
    9,452x = 74,695,568.38
  5. Step 5: Solve for x
    x = 74,695,568.38/9,452
  6. Step 6: Final answer
    x = 7,902.62

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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.