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Finding the Fourth Proportional to 9,924.98, 13,702.03 and 7,420.82

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Solution

The fourth proportional to 9,924.98, 13,702.03 and 7,420.82 is: 10,244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.98 : 13,702.03 = 7,420.82 : x
  2. Step 2: Convert to fraction form
    9,924.98/13,702.03 = 7,420.82/x
  3. Step 3: Cross multiply
    9,924.98x = 13,702.03 × 7,420.82
  4. Step 4: Simplify right side
    9,924.98x = 101,680,211.20
  5. Step 5: Solve for x
    x = 101,680,211.20/9,924.98
  6. Step 6: Final answer
    x = 10,244.88

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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.