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Finding the Fourth Proportional to 8,591.90, 11,854.12 and 4,814.56

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Solution

The fourth proportional to 8,591.90, 11,854.12 and 4,814.56 is: 6,642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,591.90 : 11,854.12 = 4,814.56 : x
  2. Step 2: Convert to fraction form
    8,591.90/11,854.12 = 4,814.56/x
  3. Step 3: Cross multiply
    8,591.90x = 11,854.12 × 4,814.56
  4. Step 4: Simplify right side
    8,591.90x = 57,072,371.99
  5. Step 5: Solve for x
    x = 57,072,371.99/8,591.90
  6. Step 6: Final answer
    x = 6,642.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.