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Finding the Fourth Proportional to 6,877.57, 9,491.15 and 3,733.75

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Solution

The fourth proportional to 6,877.57, 9,491.15 and 3,733.75 is: 5,152.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.57 : 9,491.15 = 3,733.75 : x
  2. Step 2: Convert to fraction form
    6,877.57/9,491.15 = 3,733.75/x
  3. Step 3: Cross multiply
    6,877.57x = 9,491.15 × 3,733.75
  4. Step 4: Simplify right side
    6,877.57x = 35,437,581.31
  5. Step 5: Solve for x
    x = 35,437,581.31/6,877.57
  6. Step 6: Final answer
    x = 5,152.63

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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.