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Finding the Fourth Proportional to 6,489.76, 9,774.52 and 6,033.48

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Solution

The fourth proportional to 6,489.76, 9,774.52 and 6,033.48 is: 9,087.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.76 : 9,774.52 = 6,033.48 : x
  2. Step 2: Convert to fraction form
    6,489.76/9,774.52 = 6,033.48/x
  3. Step 3: Cross multiply
    6,489.76x = 9,774.52 × 6,033.48
  4. Step 4: Simplify right side
    6,489.76x = 58,974,370.93
  5. Step 5: Solve for x
    x = 58,974,370.93/6,489.76
  6. Step 6: Final answer
    x = 9,087.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.