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Finding the Fourth Proportional to 5,693.57, 8,545.70 and 3,506.57

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Solution

The fourth proportional to 5,693.57, 8,545.70 and 3,506.57 is: 5,263.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.57 : 8,545.70 = 3,506.57 : x
  2. Step 2: Convert to fraction form
    5,693.57/8,545.70 = 3,506.57/x
  3. Step 3: Cross multiply
    5,693.57x = 8,545.70 × 3,506.57
  4. Step 4: Simplify right side
    5,693.57x = 29,966,099.08
  5. Step 5: Solve for x
    x = 29,966,099.08/5,693.57
  6. Step 6: Final answer
    x = 5,263.15

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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.