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Finding the Fourth Proportional to 9,257.60, 13,918.80 and 9,063.20

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Solution

The fourth proportional to 9,257.60, 13,918.80 and 9,063.20 is: 13,626.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.60 : 13,918.80 = 9,063.20 : x
  2. Step 2: Convert to fraction form
    9,257.60/13,918.80 = 9,063.20/x
  3. Step 3: Cross multiply
    9,257.60x = 13,918.80 × 9,063.20
  4. Step 4: Simplify right side
    9,257.60x = 126,148,868.16
  5. Step 5: Solve for x
    x = 126,148,868.16/9,257.60
  6. Step 6: Final answer
    x = 13,626.52

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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.