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Finding the Fourth Proportional to 6,342.18, 9,509.24 and 5,563.74

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Solution

The fourth proportional to 6,342.18, 9,509.24 and 5,563.74 is: 8,342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.18 : 9,509.24 = 5,563.74 : x
  2. Step 2: Convert to fraction form
    6,342.18/9,509.24 = 5,563.74/x
  3. Step 3: Cross multiply
    6,342.18x = 9,509.24 × 5,563.74
  4. Step 4: Simplify right side
    6,342.18x = 52,906,938.96
  5. Step 5: Solve for x
    x = 52,906,938.96/6,342.18
  6. Step 6: Final answer
    x = 8,342.07

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1.5x scale

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.