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Finding the Fourth Proportional to 6,271.24, 9,407.04 and 1,654.24

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Solution

The fourth proportional to 6,271.24, 9,407.04 and 1,654.24 is: 2,481.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.24 : 9,407.04 = 1,654.24 : x
  2. Step 2: Convert to fraction form
    6,271.24/9,407.04 = 1,654.24/x
  3. Step 3: Cross multiply
    6,271.24x = 9,407.04 × 1,654.24
  4. Step 4: Simplify right side
    6,271.24x = 15,561,501.85
  5. Step 5: Solve for x
    x = 15,561,501.85/6,271.24
  6. Step 6: Final answer
    x = 2,481.41

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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.