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Finding the Fourth Proportional to 6,337.12, 9,506.16 and 1,720

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Solution

The fourth proportional to 6,337.12, 9,506.16 and 1,720 is: 2,580.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.12 : 9,506.16 = 1,720 : x
  2. Step 2: Convert to fraction form
    6,337.12/9,506.16 = 1,720/x
  3. Step 3: Cross multiply
    6,337.12x = 9,506.16 × 1,720
  4. Step 4: Simplify right side
    6,337.12x = 16,350,595.20
  5. Step 5: Solve for x
    x = 16,350,595.20/6,337.12
  6. Step 6: Final answer
    x = 2,580.13

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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.