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Finding the Fourth Proportional to 12,700, 17,521.95 and 8,227.18

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Solution

The fourth proportional to 12,700, 17,521.95 and 8,227.18 is: 11,350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,700 : 17,521.95 = 8,227.18 : x
  2. Step 2: Convert to fraction form
    12,700/17,521.95 = 8,227.18/x
  3. Step 3: Cross multiply
    12,700x = 17,521.95 × 8,227.18
  4. Step 4: Simplify right side
    12,700x = 144,156,236.60
  5. Step 5: Solve for x
    x = 144,156,236.60/12,700
  6. Step 6: Final answer
    x = 11,350.88

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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.