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Finding the Fourth Proportional to 12,281.04, 16,947.59 and 7,245.54

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Solution

The fourth proportional to 12,281.04, 16,947.59 and 7,245.54 is: 9,998.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.04 : 16,947.59 = 7,245.54 : x
  2. Step 2: Convert to fraction form
    12,281.04/16,947.59 = 7,245.54/x
  3. Step 3: Cross multiply
    12,281.04x = 16,947.59 × 7,245.54
  4. Step 4: Simplify right side
    12,281.04x = 122,794,405.02
  5. Step 5: Solve for x
    x = 122,794,405.02/12,281.04
  6. Step 6: Final answer
    x = 9,998.70

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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.