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Finding the Fourth Proportional to 7,761.60, 11,642.28 and 1,918.20

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Solution

The fourth proportional to 7,761.60, 11,642.28 and 1,918.20 is: 2,877.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.60 : 11,642.28 = 1,918.20 : x
  2. Step 2: Convert to fraction form
    7,761.60/11,642.28 = 1,918.20/x
  3. Step 3: Cross multiply
    7,761.60x = 11,642.28 × 1,918.20
  4. Step 4: Simplify right side
    7,761.60x = 22,332,245.81
  5. Step 5: Solve for x
    x = 22,332,245.81/7,761.60
  6. Step 6: Final answer
    x = 2,877.28

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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.