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Finding the Fourth Proportional to 6,459.68, 9,689.46 and 2,758.76

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Solution

The fourth proportional to 6,459.68, 9,689.46 and 2,758.76 is: 4,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.68 : 9,689.46 = 2,758.76 : x
  2. Step 2: Convert to fraction form
    6,459.68/9,689.46 = 2,758.76/x
  3. Step 3: Cross multiply
    6,459.68x = 9,689.46 × 2,758.76
  4. Step 4: Simplify right side
    6,459.68x = 26,730,894.67
  5. Step 5: Solve for x
    x = 26,730,894.67/6,459.68
  6. Step 6: Final answer
    x = 4,138.11

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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.