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Finding the Fourth Proportional to 10,841.61, 14,963.91 and 6,868.17

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Solution

The fourth proportional to 10,841.61, 14,963.91 and 6,868.17 is: 9,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,841.61 : 14,963.91 = 6,868.17 : x
  2. Step 2: Convert to fraction form
    10,841.61/14,963.91 = 6,868.17/x
  3. Step 3: Cross multiply
    10,841.61x = 14,963.91 × 6,868.17
  4. Step 4: Simplify right side
    10,841.61x = 102,774,677.74
  5. Step 5: Solve for x
    x = 102,774,677.74/10,841.61
  6. Step 6: Final answer
    x = 9,479.65

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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.