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Finding the Fourth Proportional to 6,541.57, 9,021.24 and 5,047.12

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Solution

The fourth proportional to 6,541.57, 9,021.24 and 5,047.12 is: 6,960.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.57 : 9,021.24 = 5,047.12 : x
  2. Step 2: Convert to fraction form
    6,541.57/9,021.24 = 5,047.12/x
  3. Step 3: Cross multiply
    6,541.57x = 9,021.24 × 5,047.12
  4. Step 4: Simplify right side
    6,541.57x = 45,531,280.83
  5. Step 5: Solve for x
    x = 45,531,280.83/6,541.57
  6. Step 6: Final answer
    x = 6,960.30

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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.