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Finding the Fourth Proportional to 7,167.62, 9,899.68 and 6,537.04

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Solution

The fourth proportional to 7,167.62, 9,899.68 and 6,537.04 is: 9,028.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.62 : 9,899.68 = 6,537.04 : x
  2. Step 2: Convert to fraction form
    7,167.62/9,899.68 = 6,537.04/x
  3. Step 3: Cross multiply
    7,167.62x = 9,899.68 × 6,537.04
  4. Step 4: Simplify right side
    7,167.62x = 64,714,604.15
  5. Step 5: Solve for x
    x = 64,714,604.15/7,167.62
  6. Step 6: Final answer
    x = 9,028.74

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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.