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Finding the Fourth Proportional to 8,597.17, 12,895.82 and 8,177.46

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Solution

The fourth proportional to 8,597.17, 12,895.82 and 8,177.46 is: 12,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.17 : 12,895.82 = 8,177.46 : x
  2. Step 2: Convert to fraction form
    8,597.17/12,895.82 = 8,177.46/x
  3. Step 3: Cross multiply
    8,597.17x = 12,895.82 × 8,177.46
  4. Step 4: Simplify right side
    8,597.17x = 105,455,052.22
  5. Step 5: Solve for x
    x = 105,455,052.22/8,597.17
  6. Step 6: Final answer
    x = 12,266.25

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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.