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Finding the Fourth Proportional to 6,548.80, 9,825.63 and 3,040.54

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Solution

The fourth proportional to 6,548.80, 9,825.63 and 3,040.54 is: 4,561.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.80 : 9,825.63 = 3,040.54 : x
  2. Step 2: Convert to fraction form
    6,548.80/9,825.63 = 3,040.54/x
  3. Step 3: Cross multiply
    6,548.80x = 9,825.63 × 3,040.54
  4. Step 4: Simplify right side
    6,548.80x = 29,875,221.04
  5. Step 5: Solve for x
    x = 29,875,221.04/6,548.80
  6. Step 6: Final answer
    x = 4,561.94

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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.