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Finding the Fourth Proportional to 12,264.76, 16,924.78 and 6,959.44

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Solution

The fourth proportional to 12,264.76, 16,924.78 and 6,959.44 is: 9,603.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264.76 : 16,924.78 = 6,959.44 : x
  2. Step 2: Convert to fraction form
    12,264.76/16,924.78 = 6,959.44/x
  3. Step 3: Cross multiply
    12,264.76x = 16,924.78 × 6,959.44
  4. Step 4: Simplify right side
    12,264.76x = 117,786,990.92
  5. Step 5: Solve for x
    x = 117,786,990.92/12,264.76
  6. Step 6: Final answer
    x = 9,603.69

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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.