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Finding the Fourth Proportional to 9,950.66, 13,731.36 and 5,702.48

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Solution

The fourth proportional to 9,950.66, 13,731.36 and 5,702.48 is: 7,869.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.66 : 13,731.36 = 5,702.48 : x
  2. Step 2: Convert to fraction form
    9,950.66/13,731.36 = 5,702.48/x
  3. Step 3: Cross multiply
    9,950.66x = 13,731.36 × 5,702.48
  4. Step 4: Simplify right side
    9,950.66x = 78,302,805.77
  5. Step 5: Solve for x
    x = 78,302,805.77/9,950.66
  6. Step 6: Final answer
    x = 7,869.11

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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.