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Finding the Fourth Proportional to 6,568.59, 9,841.92 and 4,617.30

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Solution

The fourth proportional to 6,568.59, 9,841.92 and 4,617.30 is: 6,918.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.59 : 9,841.92 = 4,617.30 : x
  2. Step 2: Convert to fraction form
    6,568.59/9,841.92 = 4,617.30/x
  3. Step 3: Cross multiply
    6,568.59x = 9,841.92 × 4,617.30
  4. Step 4: Simplify right side
    6,568.59x = 45,443,097.22
  5. Step 5: Solve for x
    x = 45,443,097.22/6,568.59
  6. Step 6: Final answer
    x = 6,918.24

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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.