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Finding the Fourth Proportional to 6,549.70, 9,037.11 and 5,491.74

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Solution

The fourth proportional to 6,549.70, 9,037.11 and 5,491.74 is: 7,577.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.70 : 9,037.11 = 5,491.74 : x
  2. Step 2: Convert to fraction form
    6,549.70/9,037.11 = 5,491.74/x
  3. Step 3: Cross multiply
    6,549.70x = 9,037.11 × 5,491.74
  4. Step 4: Simplify right side
    6,549.70x = 49,629,458.47
  5. Step 5: Solve for x
    x = 49,629,458.47/6,549.70
  6. Step 6: Final answer
    x = 7,577.36

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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.