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Finding the Fourth Proportional to 7,070.98, 9,758.72 and 4,046.38

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Solution

The fourth proportional to 7,070.98, 9,758.72 and 4,046.38 is: 5,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.98 : 9,758.72 = 4,046.38 : x
  2. Step 2: Convert to fraction form
    7,070.98/9,758.72 = 4,046.38/x
  3. Step 3: Cross multiply
    7,070.98x = 9,758.72 × 4,046.38
  4. Step 4: Simplify right side
    7,070.98x = 39,487,475.15
  5. Step 5: Solve for x
    x = 39,487,475.15/7,070.98
  6. Step 6: Final answer
    x = 5,584.44

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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.