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Finding the Fourth Proportional to 6,581.87, 9,077.09 and 5,461.03

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Solution

The fourth proportional to 6,581.87, 9,077.09 and 5,461.03 is: 7,531.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.87 : 9,077.09 = 5,461.03 : x
  2. Step 2: Convert to fraction form
    6,581.87/9,077.09 = 5,461.03/x
  3. Step 3: Cross multiply
    6,581.87x = 9,077.09 × 5,461.03
  4. Step 4: Simplify right side
    6,581.87x = 49,570,260.80
  5. Step 5: Solve for x
    x = 49,570,260.80/6,581.87
  6. Step 6: Final answer
    x = 7,531.33

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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.