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Finding the Fourth Proportional to 6,578.70, 9,077.78 and 3,746.44

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Solution

The fourth proportional to 6,578.70, 9,077.78 and 3,746.44 is: 5,169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.70 : 9,077.78 = 3,746.44 : x
  2. Step 2: Convert to fraction form
    6,578.70/9,077.78 = 3,746.44/x
  3. Step 3: Cross multiply
    6,578.70x = 9,077.78 × 3,746.44
  4. Step 4: Simplify right side
    6,578.70x = 34,009,358.10
  5. Step 5: Solve for x
    x = 34,009,358.10/6,578.70
  6. Step 6: Final answer
    x = 5,169.62

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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.