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Finding the Fourth Proportional to 8,677.76, 11,974.74 and 5,141.24

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Solution

The fourth proportional to 8,677.76, 11,974.74 and 5,141.24 is: 7,094.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.76 : 11,974.74 = 5,141.24 : x
  2. Step 2: Convert to fraction form
    8,677.76/11,974.74 = 5,141.24/x
  3. Step 3: Cross multiply
    8,677.76x = 11,974.74 × 5,141.24
  4. Step 4: Simplify right side
    8,677.76x = 61,565,012.28
  5. Step 5: Solve for x
    x = 61,565,012.28/8,677.76
  6. Step 6: Final answer
    x = 7,094.57

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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.