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Finding the Fourth Proportional to 6,271.58, 9,407.43 and 1,654.58

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Solution

The fourth proportional to 6,271.58, 9,407.43 and 1,654.58 is: 2,481.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.58 : 9,407.43 = 1,654.58 : x
  2. Step 2: Convert to fraction form
    6,271.58/9,407.43 = 1,654.58/x
  3. Step 3: Cross multiply
    6,271.58x = 9,407.43 × 1,654.58
  4. Step 4: Simplify right side
    6,271.58x = 15,565,345.53
  5. Step 5: Solve for x
    x = 15,565,345.53/6,271.58
  6. Step 6: Final answer
    x = 2,481.89

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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.