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Finding the Fourth Proportional to 7,877.28, 11,837.62 and 4,182.28

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Solution

The fourth proportional to 7,877.28, 11,837.62 and 4,182.28 is: 6,284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.28 : 11,837.62 = 4,182.28 : x
  2. Step 2: Convert to fraction form
    7,877.28/11,837.62 = 4,182.28/x
  3. Step 3: Cross multiply
    7,877.28x = 11,837.62 × 4,182.28
  4. Step 4: Simplify right side
    7,877.28x = 49,508,217.01
  5. Step 5: Solve for x
    x = 49,508,217.01/7,877.28
  6. Step 6: Final answer
    x = 6,284.94

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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.