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Finding the Fourth Proportional to 6,902.88, 9,526.16 and 3,759.20

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Solution

The fourth proportional to 6,902.88, 9,526.16 and 3,759.20 is: 5,187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.88 : 9,526.16 = 3,759.20 : x
  2. Step 2: Convert to fraction form
    6,902.88/9,526.16 = 3,759.20/x
  3. Step 3: Cross multiply
    6,902.88x = 9,526.16 × 3,759.20
  4. Step 4: Simplify right side
    6,902.88x = 35,810,740.67
  5. Step 5: Solve for x
    x = 35,810,740.67/6,902.88
  6. Step 6: Final answer
    x = 5,187.80

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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.