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Finding the Fourth Proportional to 8,189.60, 11,301.60 and 4,463.52

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Solution

The fourth proportional to 8,189.60, 11,301.60 and 4,463.52 is: 6,159.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.60 : 11,301.60 = 4,463.52 : x
  2. Step 2: Convert to fraction form
    8,189.60/11,301.60 = 4,463.52/x
  3. Step 3: Cross multiply
    8,189.60x = 11,301.60 × 4,463.52
  4. Step 4: Simplify right side
    8,189.60x = 50,444,917.63
  5. Step 5: Solve for x
    x = 50,444,917.63/8,189.60
  6. Step 6: Final answer
    x = 6,159.63

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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.