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Finding the Fourth Proportional to 7,642.59, 11,462.86 and 3,478.11

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Solution

The fourth proportional to 7,642.59, 11,462.86 and 3,478.11 is: 5,216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.59 : 11,462.86 = 3,478.11 : x
  2. Step 2: Convert to fraction form
    7,642.59/11,462.86 = 3,478.11/x
  3. Step 3: Cross multiply
    7,642.59x = 11,462.86 × 3,478.11
  4. Step 4: Simplify right side
    7,642.59x = 39,869,087.99
  5. Step 5: Solve for x
    x = 39,869,087.99/7,642.59
  6. Step 6: Final answer
    x = 5,216.70

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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.