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Finding the Fourth Proportional to 6,499.84, 9,733.32 and 4,301.92

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Solution

The fourth proportional to 6,499.84, 9,733.32 and 4,301.92 is: 6,442.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.84 : 9,733.32 = 4,301.92 : x
  2. Step 2: Convert to fraction form
    6,499.84/9,733.32 = 4,301.92/x
  3. Step 3: Cross multiply
    6,499.84x = 9,733.32 × 4,301.92
  4. Step 4: Simplify right side
    6,499.84x = 41,871,963.97
  5. Step 5: Solve for x
    x = 41,871,963.97/6,499.84
  6. Step 6: Final answer
    x = 6,442.00

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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.