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Finding the Fourth Proportional to 6,382.47, 9,549.65 and 5,735.01

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Solution

The fourth proportional to 6,382.47, 9,549.65 and 5,735.01 is: 8,580.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.47 : 9,549.65 = 5,735.01 : x
  2. Step 2: Convert to fraction form
    6,382.47/9,549.65 = 5,735.01/x
  3. Step 3: Cross multiply
    6,382.47x = 9,549.65 × 5,735.01
  4. Step 4: Simplify right side
    6,382.47x = 54,767,338.25
  5. Step 5: Solve for x
    x = 54,767,338.25/6,382.47
  6. Step 6: Final answer
    x = 8,580.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.