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Finding the Fourth Proportional to 9,947.40, 14,930.70 and 8,488.20

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Solution

The fourth proportional to 9,947.40, 14,930.70 and 8,488.20 is: 12,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.40 : 14,930.70 = 8,488.20 : x
  2. Step 2: Convert to fraction form
    9,947.40/14,930.70 = 8,488.20/x
  3. Step 3: Cross multiply
    9,947.40x = 14,930.70 × 8,488.20
  4. Step 4: Simplify right side
    9,947.40x = 126,734,767.74
  5. Step 5: Solve for x
    x = 126,734,767.74/9,947.40
  6. Step 6: Final answer
    x = 12,740.49

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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.