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Finding the Fourth Proportional to 6,705.70, 9,254.42 and 3,721.84

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Solution

The fourth proportional to 6,705.70, 9,254.42 and 3,721.84 is: 5,136.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.70 : 9,254.42 = 3,721.84 : x
  2. Step 2: Convert to fraction form
    6,705.70/9,254.42 = 3,721.84/x
  3. Step 3: Cross multiply
    6,705.70x = 9,254.42 × 3,721.84
  4. Step 4: Simplify right side
    6,705.70x = 34,443,470.53
  5. Step 5: Solve for x
    x = 34,443,470.53/6,705.70
  6. Step 6: Final answer
    x = 5,136.45

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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.