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Finding the Fourth Proportional to 6,809.26, 9,395.13 and 4,155.70

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Solution

The fourth proportional to 6,809.26, 9,395.13 and 4,155.70 is: 5,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.26 : 9,395.13 = 4,155.70 : x
  2. Step 2: Convert to fraction form
    6,809.26/9,395.13 = 4,155.70/x
  3. Step 3: Cross multiply
    6,809.26x = 9,395.13 × 4,155.70
  4. Step 4: Simplify right side
    6,809.26x = 39,043,341.74
  5. Step 5: Solve for x
    x = 39,043,341.74/6,809.26
  6. Step 6: Final answer
    x = 5,733.86

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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.