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Finding the Fourth Proportional to 9,951.15, 13,731.96 and 5,702.22

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Solution

The fourth proportional to 9,951.15, 13,731.96 and 5,702.22 is: 7,868.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951.15 : 13,731.96 = 5,702.22 : x
  2. Step 2: Convert to fraction form
    9,951.15/13,731.96 = 5,702.22/x
  3. Step 3: Cross multiply
    9,951.15x = 13,731.96 × 5,702.22
  4. Step 4: Simplify right side
    9,951.15x = 78,302,656.95
  5. Step 5: Solve for x
    x = 78,302,656.95/9,951.15
  6. Step 6: Final answer
    x = 7,868.70

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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.