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Finding the Fourth Proportional to 6,549.36, 9,825.48 and 1,932.72

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Solution

The fourth proportional to 6,549.36, 9,825.48 and 1,932.72 is: 2,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.36 : 9,825.48 = 1,932.72 : x
  2. Step 2: Convert to fraction form
    6,549.36/9,825.48 = 1,932.72/x
  3. Step 3: Cross multiply
    6,549.36x = 9,825.48 × 1,932.72
  4. Step 4: Simplify right side
    6,549.36x = 18,989,901.71
  5. Step 5: Solve for x
    x = 18,989,901.71/6,549.36
  6. Step 6: Final answer
    x = 2,899.50

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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.