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Finding the Fourth Proportional to 5,616.12, 7,746.04 and 4,123.56

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Solution

The fourth proportional to 5,616.12, 7,746.04 and 4,123.56 is: 5,687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.12 : 7,746.04 = 4,123.56 : x
  2. Step 2: Convert to fraction form
    5,616.12/7,746.04 = 4,123.56/x
  3. Step 3: Cross multiply
    5,616.12x = 7,746.04 × 4,123.56
  4. Step 4: Simplify right side
    5,616.12x = 31,941,260.70
  5. Step 5: Solve for x
    x = 31,941,260.70/5,616.12
  6. Step 6: Final answer
    x = 5,687.42

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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.