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Finding the Fourth Proportional to 6,262.70, 9,394.92 and 2,565.45

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Solution

The fourth proportional to 6,262.70, 9,394.92 and 2,565.45 is: 3,848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.70 : 9,394.92 = 2,565.45 : x
  2. Step 2: Convert to fraction form
    6,262.70/9,394.92 = 2,565.45/x
  3. Step 3: Cross multiply
    6,262.70x = 9,394.92 × 2,565.45
  4. Step 4: Simplify right side
    6,262.70x = 24,102,197.51
  5. Step 5: Solve for x
    x = 24,102,197.51/6,262.70
  6. Step 6: Final answer
    x = 3,848.53

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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.