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Finding the Fourth Proportional to 27,675.76, 41,513.64 and 6,899.28

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Solution

The fourth proportional to 27,675.76, 41,513.64 and 6,899.28 is: 10,348.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,675.76 : 41,513.64 = 6,899.28 : x
  2. Step 2: Convert to fraction form
    27,675.76/41,513.64 = 6,899.28/x
  3. Step 3: Cross multiply
    27,675.76x = 41,513.64 × 6,899.28
  4. Step 4: Simplify right side
    27,675.76x = 286,414,226.18
  5. Step 5: Solve for x
    x = 286,414,226.18/27,675.76
  6. Step 6: Final answer
    x = 10,348.92

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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.