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Finding the Fourth Proportional to 9,145.60, 13,732.80 and 5,257.60

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Solution

The fourth proportional to 9,145.60, 13,732.80 and 5,257.60 is: 7,894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.60 : 13,732.80 = 5,257.60 : x
  2. Step 2: Convert to fraction form
    9,145.60/13,732.80 = 5,257.60/x
  3. Step 3: Cross multiply
    9,145.60x = 13,732.80 × 5,257.60
  4. Step 4: Simplify right side
    9,145.60x = 72,201,569.28
  5. Step 5: Solve for x
    x = 72,201,569.28/9,145.60
  6. Step 6: Final answer
    x = 7,894.68

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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.