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Finding the Fourth Proportional to 7,693.98, 10,610.64 and 5,042.85

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Solution

The fourth proportional to 7,693.98, 10,610.64 and 5,042.85 is: 6,954.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.98 : 10,610.64 = 5,042.85 : x
  2. Step 2: Convert to fraction form
    7,693.98/10,610.64 = 5,042.85/x
  3. Step 3: Cross multiply
    7,693.98x = 10,610.64 × 5,042.85
  4. Step 4: Simplify right side
    7,693.98x = 53,507,855.48
  5. Step 5: Solve for x
    x = 53,507,855.48/7,693.98
  6. Step 6: Final answer
    x = 6,954.51

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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.