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Finding the Fourth Proportional to 6,538.62, 9,807.84 and 1,608.30

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Solution

The fourth proportional to 6,538.62, 9,807.84 and 1,608.30 is: 2,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.62 : 9,807.84 = 1,608.30 : x
  2. Step 2: Convert to fraction form
    6,538.62/9,807.84 = 1,608.30/x
  3. Step 3: Cross multiply
    6,538.62x = 9,807.84 × 1,608.30
  4. Step 4: Simplify right side
    6,538.62x = 15,773,943.31
  5. Step 5: Solve for x
    x = 15,773,943.31/6,538.62
  6. Step 6: Final answer
    x = 2,412.43

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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.