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Finding the Fourth Proportional to 9,549.82, 14,339.31 and 8,325.10

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Solution

The fourth proportional to 9,549.82, 14,339.31 and 8,325.10 is: 12,500.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.82 : 14,339.31 = 8,325.10 : x
  2. Step 2: Convert to fraction form
    9,549.82/14,339.31 = 8,325.10/x
  3. Step 3: Cross multiply
    9,549.82x = 14,339.31 × 8,325.10
  4. Step 4: Simplify right side
    9,549.82x = 119,376,189.68
  5. Step 5: Solve for x
    x = 119,376,189.68/9,549.82
  6. Step 6: Final answer
    x = 12,500.36

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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.