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Finding the Fourth Proportional to 4,859.74, 6,706.92 and 2,972.17

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Solution

The fourth proportional to 4,859.74, 6,706.92 and 2,972.17 is: 4,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.74 : 6,706.92 = 2,972.17 : x
  2. Step 2: Convert to fraction form
    4,859.74/6,706.92 = 2,972.17/x
  3. Step 3: Cross multiply
    4,859.74x = 6,706.92 × 2,972.17
  4. Step 4: Simplify right side
    4,859.74x = 19,934,100.79
  5. Step 5: Solve for x
    x = 19,934,100.79/4,859.74
  6. Step 6: Final answer
    x = 4,101.89

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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.