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Finding the Fourth Proportional to 6,497.13, 9,747.31 and 1,880.13

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Solution

The fourth proportional to 6,497.13, 9,747.31 and 1,880.13 is: 2,820.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.13 : 9,747.31 = 1,880.13 : x
  2. Step 2: Convert to fraction form
    6,497.13/9,747.31 = 1,880.13/x
  3. Step 3: Cross multiply
    6,497.13x = 9,747.31 × 1,880.13
  4. Step 4: Simplify right side
    6,497.13x = 18,326,165.91
  5. Step 5: Solve for x
    x = 18,326,165.91/6,497.13
  6. Step 6: Final answer
    x = 2,820.66

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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.