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Finding the Fourth Proportional to 9,257.58, 13,798.37 and 8,732.14

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Solution

The fourth proportional to 9,257.58, 13,798.37 and 8,732.14 is: 13,015.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.58 : 13,798.37 = 8,732.14 : x
  2. Step 2: Convert to fraction form
    9,257.58/13,798.37 = 8,732.14/x
  3. Step 3: Cross multiply
    9,257.58x = 13,798.37 × 8,732.14
  4. Step 4: Simplify right side
    9,257.58x = 120,489,298.61
  5. Step 5: Solve for x
    x = 120,489,298.61/9,257.58
  6. Step 6: Final answer
    x = 13,015.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.