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Finding the Fourth Proportional to 9,658.17, 13,327.47 and 8,952.93

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Solution

The fourth proportional to 9,658.17, 13,327.47 and 8,952.93 is: 12,354.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.17 : 13,327.47 = 8,952.93 : x
  2. Step 2: Convert to fraction form
    9,658.17/13,327.47 = 8,952.93/x
  3. Step 3: Cross multiply
    9,658.17x = 13,327.47 × 8,952.93
  4. Step 4: Simplify right side
    9,658.17x = 119,319,905.99
  5. Step 5: Solve for x
    x = 119,319,905.99/9,658.17
  6. Step 6: Final answer
    x = 12,354.30

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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.