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Finding the Fourth Proportional to 8,077.76, 11,143.68 and 4,933.36

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Solution

The fourth proportional to 8,077.76, 11,143.68 and 4,933.36 is: 6,805.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.76 : 11,143.68 = 4,933.36 : x
  2. Step 2: Convert to fraction form
    8,077.76/11,143.68 = 4,933.36/x
  3. Step 3: Cross multiply
    8,077.76x = 11,143.68 × 4,933.36
  4. Step 4: Simplify right side
    8,077.76x = 54,975,785.16
  5. Step 5: Solve for x
    x = 54,975,785.16/8,077.76
  6. Step 6: Final answer
    x = 6,805.82

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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.