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Finding the Fourth Proportional to 6,533.88, 9,016.52 and 3,549.64

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Solution

The fourth proportional to 6,533.88, 9,016.52 and 3,549.64 is: 4,898.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.88 : 9,016.52 = 3,549.64 : x
  2. Step 2: Convert to fraction form
    6,533.88/9,016.52 = 3,549.64/x
  3. Step 3: Cross multiply
    6,533.88x = 9,016.52 × 3,549.64
  4. Step 4: Simplify right side
    6,533.88x = 32,005,400.05
  5. Step 5: Solve for x
    x = 32,005,400.05/6,533.88
  6. Step 6: Final answer
    x = 4,898.38

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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.