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Finding the Fourth Proportional to 6,549.04, 9,825.16 and 1,932.08

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Solution

The fourth proportional to 6,549.04, 9,825.16 and 1,932.08 is: 2,898.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.04 : 9,825.16 = 1,932.08 : x
  2. Step 2: Convert to fraction form
    6,549.04/9,825.16 = 1,932.08/x
  3. Step 3: Cross multiply
    6,549.04x = 9,825.16 × 1,932.08
  4. Step 4: Simplify right side
    6,549.04x = 18,982,995.13
  5. Step 5: Solve for x
    x = 18,982,995.13/6,549.04
  6. Step 6: Final answer
    x = 2,898.59

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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.