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Finding the Fourth Proportional to 9,686.49, 14,532.17 and 2,760.99

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Solution

The fourth proportional to 9,686.49, 14,532.17 and 2,760.99 is: 4,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.49 : 14,532.17 = 2,760.99 : x
  2. Step 2: Convert to fraction form
    9,686.49/14,532.17 = 2,760.99/x
  3. Step 3: Cross multiply
    9,686.49x = 14,532.17 × 2,760.99
  4. Step 4: Simplify right side
    9,686.49x = 40,123,162.24
  5. Step 5: Solve for x
    x = 40,123,162.24/9,686.49
  6. Step 6: Final answer
    x = 4,142.18

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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.