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Finding the Fourth Proportional to 6,492.56, 9,747.20 and 5,574.02

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Solution

The fourth proportional to 6,492.56, 9,747.20 and 5,574.02 is: 8,368.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.56 : 9,747.20 = 5,574.02 : x
  2. Step 2: Convert to fraction form
    6,492.56/9,747.20 = 5,574.02/x
  3. Step 3: Cross multiply
    6,492.56x = 9,747.20 × 5,574.02
  4. Step 4: Simplify right side
    6,492.56x = 54,331,052.94
  5. Step 5: Solve for x
    x = 54,331,052.94/6,492.56
  6. Step 6: Final answer
    x = 8,368.21

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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.