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Finding the Fourth Proportional to 12,374.30, 18,561.45 and 7,708.70

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Solution

The fourth proportional to 12,374.30, 18,561.45 and 7,708.70 is: 11,563.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.30 : 18,561.45 = 7,708.70 : x
  2. Step 2: Convert to fraction form
    12,374.30/18,561.45 = 7,708.70/x
  3. Step 3: Cross multiply
    12,374.30x = 18,561.45 × 7,708.70
  4. Step 4: Simplify right side
    12,374.30x = 143,084,649.62
  5. Step 5: Solve for x
    x = 143,084,649.62/12,374.30
  6. Step 6: Final answer
    x = 11,563.05

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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.