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Finding the Fourth Proportional to 8,974.74, 13,462.14 and 4,354.50

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Solution

The fourth proportional to 8,974.74, 13,462.14 and 4,354.50 is: 6,531.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.74 : 13,462.14 = 4,354.50 : x
  2. Step 2: Convert to fraction form
    8,974.74/13,462.14 = 4,354.50/x
  3. Step 3: Cross multiply
    8,974.74x = 13,462.14 × 4,354.50
  4. Step 4: Simplify right side
    8,974.74x = 58,620,888.63
  5. Step 5: Solve for x
    x = 58,620,888.63/8,974.74
  6. Step 6: Final answer
    x = 6,531.76

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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.