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Finding the Fourth Proportional to 10,658.92, 14,710.10 and 6,184.20

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Solution

The fourth proportional to 10,658.92, 14,710.10 and 6,184.20 is: 8,534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.92 : 14,710.10 = 6,184.20 : x
  2. Step 2: Convert to fraction form
    10,658.92/14,710.10 = 6,184.20/x
  3. Step 3: Cross multiply
    10,658.92x = 14,710.10 × 6,184.20
  4. Step 4: Simplify right side
    10,658.92x = 90,970,200.42
  5. Step 5: Solve for x
    x = 90,970,200.42/10,658.92
  6. Step 6: Final answer
    x = 8,534.65

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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.