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Finding the Fourth Proportional to 4,706.97, 7,061.54 and 1,586.90

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Solution

The fourth proportional to 4,706.97, 7,061.54 and 1,586.90 is: 2,380.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.97 : 7,061.54 = 1,586.90 : x
  2. Step 2: Convert to fraction form
    4,706.97/7,061.54 = 1,586.90/x
  3. Step 3: Cross multiply
    4,706.97x = 7,061.54 × 1,586.90
  4. Step 4: Simplify right side
    4,706.97x = 11,205,957.83
  5. Step 5: Solve for x
    x = 11,205,957.83/4,706.97
  6. Step 6: Final answer
    x = 2,380.72

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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.