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Finding the Fourth Proportional to 6,916.62, 9,545.14 and 4,228.28

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Solution

The fourth proportional to 6,916.62, 9,545.14 and 4,228.28 is: 5,835.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,916.62 : 9,545.14 = 4,228.28 : x
  2. Step 2: Convert to fraction form
    6,916.62/9,545.14 = 4,228.28/x
  3. Step 3: Cross multiply
    6,916.62x = 9,545.14 × 4,228.28
  4. Step 4: Simplify right side
    6,916.62x = 40,359,524.56
  5. Step 5: Solve for x
    x = 40,359,524.56/6,916.62
  6. Step 6: Final answer
    x = 5,835.15

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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.