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Finding the Fourth Proportional to 23,127, 34,696.26 and 6,711

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Solution

The fourth proportional to 23,127, 34,696.26 and 6,711 is: 10,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,127 : 34,696.26 = 6,711 : x
  2. Step 2: Convert to fraction form
    23,127/34,696.26 = 6,711/x
  3. Step 3: Cross multiply
    23,127x = 34,696.26 × 6,711
  4. Step 4: Simplify right side
    23,127x = 232,846,600.86
  5. Step 5: Solve for x
    x = 232,846,600.86/23,127
  6. Step 6: Final answer
    x = 10,068.17

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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.