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Finding the Fourth Proportional to 9,815.80, 14,714.10 and 5,138.20

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Solution

The fourth proportional to 9,815.80, 14,714.10 and 5,138.20 is: 7,702.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.80 : 14,714.10 = 5,138.20 : x
  2. Step 2: Convert to fraction form
    9,815.80/14,714.10 = 5,138.20/x
  3. Step 3: Cross multiply
    9,815.80x = 14,714.10 × 5,138.20
  4. Step 4: Simplify right side
    9,815.80x = 75,603,988.62
  5. Step 5: Solve for x
    x = 75,603,988.62/9,815.80
  6. Step 6: Final answer
    x = 7,702.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.