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Finding the Fourth Proportional to 8,534.58, 12,775.95 and 8,249.46

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Solution

The fourth proportional to 8,534.58, 12,775.95 and 8,249.46 is: 12,349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.58 : 12,775.95 = 8,249.46 : x
  2. Step 2: Convert to fraction form
    8,534.58/12,775.95 = 8,249.46/x
  3. Step 3: Cross multiply
    8,534.58x = 12,775.95 × 8,249.46
  4. Step 4: Simplify right side
    8,534.58x = 105,394,688.49
  5. Step 5: Solve for x
    x = 105,394,688.49/8,534.58
  6. Step 6: Final answer
    x = 12,349.14

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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.