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Finding the Fourth Proportional to 6,533.70, 9,016.46 and 3,549.50

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Solution

The fourth proportional to 6,533.70, 9,016.46 and 3,549.50 is: 4,898.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.70 : 9,016.46 = 3,549.50 : x
  2. Step 2: Convert to fraction form
    6,533.70/9,016.46 = 3,549.50/x
  3. Step 3: Cross multiply
    6,533.70x = 9,016.46 × 3,549.50
  4. Step 4: Simplify right side
    6,533.70x = 32,003,924.77
  5. Step 5: Solve for x
    x = 32,003,924.77/6,533.70
  6. Step 6: Final answer
    x = 4,898.29

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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.