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Finding the Fourth Proportional to 8,006.84, 12,006.54 and 2,458.76

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Solution

The fourth proportional to 8,006.84, 12,006.54 and 2,458.76 is: 3,687.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.84 : 12,006.54 = 2,458.76 : x
  2. Step 2: Convert to fraction form
    8,006.84/12,006.54 = 2,458.76/x
  3. Step 3: Cross multiply
    8,006.84x = 12,006.54 × 2,458.76
  4. Step 4: Simplify right side
    8,006.84x = 29,521,200.29
  5. Step 5: Solve for x
    x = 29,521,200.29/8,006.84
  6. Step 6: Final answer
    x = 3,687.00

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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.