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Finding the Fourth Proportional to 6,534.72, 9,801.54 and 3,024

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Solution

The fourth proportional to 6,534.72, 9,801.54 and 3,024 is: 4,535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.72 : 9,801.54 = 3,024 : x
  2. Step 2: Convert to fraction form
    6,534.72/9,801.54 = 3,024/x
  3. Step 3: Cross multiply
    6,534.72x = 9,801.54 × 3,024
  4. Step 4: Simplify right side
    6,534.72x = 29,639,856.96
  5. Step 5: Solve for x
    x = 29,639,856.96/6,534.72
  6. Step 6: Final answer
    x = 4,535.75

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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.