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Finding the Fourth Proportional to 9,929.95, 13,702.30 and 5,950.96

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Solution

The fourth proportional to 9,929.95, 13,702.30 and 5,950.96 is: 8,211.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.95 : 13,702.30 = 5,950.96 : x
  2. Step 2: Convert to fraction form
    9,929.95/13,702.30 = 5,950.96/x
  3. Step 3: Cross multiply
    9,929.95x = 13,702.30 × 5,950.96
  4. Step 4: Simplify right side
    9,929.95x = 81,541,839.21
  5. Step 5: Solve for x
    x = 81,541,839.21/9,929.95
  6. Step 6: Final answer
    x = 8,211.71

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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.