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Finding the Fourth Proportional to 6,251.49, 9,377.06 and 1,571.49

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Solution

The fourth proportional to 6,251.49, 9,377.06 and 1,571.49 is: 2,357.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,251.49 : 9,377.06 = 1,571.49 : x
  2. Step 2: Convert to fraction form
    6,251.49/9,377.06 = 1,571.49/x
  3. Step 3: Cross multiply
    6,251.49x = 9,377.06 × 1,571.49
  4. Step 4: Simplify right side
    6,251.49x = 14,735,948.16
  5. Step 5: Solve for x
    x = 14,735,948.16/6,251.49
  6. Step 6: Final answer
    x = 2,357.19

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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.