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Finding the Fourth Proportional to 12,281.08, 16,947.14 and 7,246.88

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Solution

The fourth proportional to 12,281.08, 16,947.14 and 7,246.88 is: 10,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.08 : 16,947.14 = 7,246.88 : x
  2. Step 2: Convert to fraction form
    12,281.08/16,947.14 = 7,246.88/x
  3. Step 3: Cross multiply
    12,281.08x = 16,947.14 × 7,246.88
  4. Step 4: Simplify right side
    12,281.08x = 122,813,823.30
  5. Step 5: Solve for x
    x = 122,813,823.30/12,281.08
  6. Step 6: Final answer
    x = 10,000.25

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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.