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Finding the Fourth Proportional to 6,569.98, 9,843.98 and 4,618.68

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Solution

The fourth proportional to 6,569.98, 9,843.98 and 4,618.68 is: 6,920.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.98 : 9,843.98 = 4,618.68 : x
  2. Step 2: Convert to fraction form
    6,569.98/9,843.98 = 4,618.68/x
  3. Step 3: Cross multiply
    6,569.98x = 9,843.98 × 4,618.68
  4. Step 4: Simplify right side
    6,569.98x = 45,466,193.55
  5. Step 5: Solve for x
    x = 45,466,193.55/6,569.98
  6. Step 6: Final answer
    x = 6,920.29

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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.