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Finding the Fourth Proportional to 6,533.87, 9,016.75 and 3,549.70

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Solution

The fourth proportional to 6,533.87, 9,016.75 and 3,549.70 is: 4,898.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.87 : 9,016.75 = 3,549.70 : x
  2. Step 2: Convert to fraction form
    6,533.87/9,016.75 = 3,549.70/x
  3. Step 3: Cross multiply
    6,533.87x = 9,016.75 × 3,549.70
  4. Step 4: Simplify right side
    6,533.87x = 32,006,757.48
  5. Step 5: Solve for x
    x = 32,006,757.48/6,533.87
  6. Step 6: Final answer
    x = 4,898.59

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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.