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Finding the Fourth Proportional to 6,548.24, 9,822.10 and 1,617.76

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Solution

The fourth proportional to 6,548.24, 9,822.10 and 1,617.76 is: 2,426.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.24 : 9,822.10 = 1,617.76 : x
  2. Step 2: Convert to fraction form
    6,548.24/9,822.10 = 1,617.76/x
  3. Step 3: Cross multiply
    6,548.24x = 9,822.10 × 1,617.76
  4. Step 4: Simplify right side
    6,548.24x = 15,889,743.30
  5. Step 5: Solve for x
    x = 15,889,743.30/6,548.24
  6. Step 6: Final answer
    x = 2,426.57

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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.