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Finding the Fourth Proportional to 6,902.48, 9,525.48 and 3,758.66

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Solution

The fourth proportional to 6,902.48, 9,525.48 and 3,758.66 is: 5,186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.48 : 9,525.48 = 3,758.66 : x
  2. Step 2: Convert to fraction form
    6,902.48/9,525.48 = 3,758.66/x
  3. Step 3: Cross multiply
    6,902.48x = 9,525.48 × 3,758.66
  4. Step 4: Simplify right side
    6,902.48x = 35,803,040.66
  5. Step 5: Solve for x
    x = 35,803,040.66/6,902.48
  6. Step 6: Final answer
    x = 5,186.98

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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.