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Finding the Fourth Proportional to 6,437.85, 9,659.78 and 2,280.99

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Solution

The fourth proportional to 6,437.85, 9,659.78 and 2,280.99 is: 3,422.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.85 : 9,659.78 = 2,280.99 : x
  2. Step 2: Convert to fraction form
    6,437.85/9,659.78 = 2,280.99/x
  3. Step 3: Cross multiply
    6,437.85x = 9,659.78 × 2,280.99
  4. Step 4: Simplify right side
    6,437.85x = 22,033,861.58
  5. Step 5: Solve for x
    x = 22,033,861.58/6,437.85
  6. Step 6: Final answer
    x = 3,422.55

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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.