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Finding the Fourth Proportional to 7,146.98, 9,862.86 and 4,164.56

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Solution

The fourth proportional to 7,146.98, 9,862.86 and 4,164.56 is: 5,747.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.98 : 9,862.86 = 4,164.56 : x
  2. Step 2: Convert to fraction form
    7,146.98/9,862.86 = 4,164.56/x
  3. Step 3: Cross multiply
    7,146.98x = 9,862.86 × 4,164.56
  4. Step 4: Simplify right side
    7,146.98x = 41,074,472.24
  5. Step 5: Solve for x
    x = 41,074,472.24/7,146.98
  6. Step 6: Final answer
    x = 5,747.11

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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.