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Finding the Fourth Proportional to 6,535.02, 9,815.13 and 5,600.08

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Solution

The fourth proportional to 6,535.02, 9,815.13 and 5,600.08 is: 8,410.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.02 : 9,815.13 = 5,600.08 : x
  2. Step 2: Convert to fraction form
    6,535.02/9,815.13 = 5,600.08/x
  3. Step 3: Cross multiply
    6,535.02x = 9,815.13 × 5,600.08
  4. Step 4: Simplify right side
    6,535.02x = 54,965,513.21
  5. Step 5: Solve for x
    x = 54,965,513.21/6,535.02
  6. Step 6: Final answer
    x = 8,410.92

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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.