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Finding the Fourth Proportional to 6,580.70, 9,081.56 and 3,786.20

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Solution

The fourth proportional to 6,580.70, 9,081.56 and 3,786.20 is: 5,225.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.70 : 9,081.56 = 3,786.20 : x
  2. Step 2: Convert to fraction form
    6,580.70/9,081.56 = 3,786.20/x
  3. Step 3: Cross multiply
    6,580.70x = 9,081.56 × 3,786.20
  4. Step 4: Simplify right side
    6,580.70x = 34,384,602.47
  5. Step 5: Solve for x
    x = 34,384,602.47/6,580.70
  6. Step 6: Final answer
    x = 5,225.07

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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.