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Finding the Fourth Proportional to 6,548.52, 9,817.38 and 6,181.77

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Solution

The fourth proportional to 6,548.52, 9,817.38 and 6,181.77 is: 9,267.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.52 : 9,817.38 = 6,181.77 : x
  2. Step 2: Convert to fraction form
    6,548.52/9,817.38 = 6,181.77/x
  3. Step 3: Cross multiply
    6,548.52x = 9,817.38 × 6,181.77
  4. Step 4: Simplify right side
    6,548.52x = 60,688,785.16
  5. Step 5: Solve for x
    x = 60,688,785.16/6,548.52
  6. Step 6: Final answer
    x = 9,267.56

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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.