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Finding the Fourth Proportional to 4,658.04, 6,987.06 and 2,471.04

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Solution

The fourth proportional to 4,658.04, 6,987.06 and 2,471.04 is: 3,706.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.04 : 6,987.06 = 2,471.04 : x
  2. Step 2: Convert to fraction form
    4,658.04/6,987.06 = 2,471.04/x
  3. Step 3: Cross multiply
    4,658.04x = 6,987.06 × 2,471.04
  4. Step 4: Simplify right side
    4,658.04x = 17,265,304.74
  5. Step 5: Solve for x
    x = 17,265,304.74/4,658.04
  6. Step 6: Final answer
    x = 3,706.56

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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.