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Finding the Fourth Proportional to 12,293.60, 16,964.67 and 7,259.44

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Solution

The fourth proportional to 12,293.60, 16,964.67 and 7,259.44 is: 10,017.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293.60 : 16,964.67 = 7,259.44 : x
  2. Step 2: Convert to fraction form
    12,293.60/16,964.67 = 7,259.44/x
  3. Step 3: Cross multiply
    12,293.60x = 16,964.67 × 7,259.44
  4. Step 4: Simplify right side
    12,293.60x = 123,153,961.57
  5. Step 5: Solve for x
    x = 123,153,961.57/12,293.60
  6. Step 6: Final answer
    x = 10,017.73

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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.