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Finding the Fourth Proportional to 6,574.97, 9,864.28 and 3,655.33

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Solution

The fourth proportional to 6,574.97, 9,864.28 and 3,655.33 is: 5,484.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.97 : 9,864.28 = 3,655.33 : x
  2. Step 2: Convert to fraction form
    6,574.97/9,864.28 = 3,655.33/x
  3. Step 3: Cross multiply
    6,574.97x = 9,864.28 × 3,655.33
  4. Step 4: Simplify right side
    6,574.97x = 36,057,178.52
  5. Step 5: Solve for x
    x = 36,057,178.52/6,574.97
  6. Step 6: Final answer
    x = 5,484.00

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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.