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Finding the Fourth Proportional to 8,257.68, 12,364.62 and 4,966.25

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Solution

The fourth proportional to 8,257.68, 12,364.62 and 4,966.25 is: 7,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.68 : 12,364.62 = 4,966.25 : x
  2. Step 2: Convert to fraction form
    8,257.68/12,364.62 = 4,966.25/x
  3. Step 3: Cross multiply
    8,257.68x = 12,364.62 × 4,966.25
  4. Step 4: Simplify right side
    8,257.68x = 61,405,732.25
  5. Step 5: Solve for x
    x = 61,405,732.25/8,257.68
  6. Step 6: Final answer
    x = 7,436.20

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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.