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Finding the Fourth Proportional to 6,543.72, 9,024.16 and 5,049.28

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Solution

The fourth proportional to 6,543.72, 9,024.16 and 5,049.28 is: 6,963.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.72 : 9,024.16 = 5,049.28 : x
  2. Step 2: Convert to fraction form
    6,543.72/9,024.16 = 5,049.28/x
  3. Step 3: Cross multiply
    6,543.72x = 9,024.16 × 5,049.28
  4. Step 4: Simplify right side
    6,543.72x = 45,565,510.60
  5. Step 5: Solve for x
    x = 45,565,510.60/6,543.72
  6. Step 6: Final answer
    x = 6,963.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.