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Finding the Fourth Proportional to 6,458.76, 9,681.90 and 2,073.42

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Solution

The fourth proportional to 6,458.76, 9,681.90 and 2,073.42 is: 3,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.76 : 9,681.90 = 2,073.42 : x
  2. Step 2: Convert to fraction form
    6,458.76/9,681.90 = 2,073.42/x
  3. Step 3: Cross multiply
    6,458.76x = 9,681.90 × 2,073.42
  4. Step 4: Simplify right side
    6,458.76x = 20,074,645.10
  5. Step 5: Solve for x
    x = 20,074,645.10/6,458.76
  6. Step 6: Final answer
    x = 3,108.13

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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.