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Finding the Fourth Proportional to 6,575.50, 9,864.60 and 2,415.55

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Solution

The fourth proportional to 6,575.50, 9,864.60 and 2,415.55 is: 3,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.50 : 9,864.60 = 2,415.55 : x
  2. Step 2: Convert to fraction form
    6,575.50/9,864.60 = 2,415.55/x
  3. Step 3: Cross multiply
    6,575.50x = 9,864.60 × 2,415.55
  4. Step 4: Simplify right side
    6,575.50x = 23,828,472.67
  5. Step 5: Solve for x
    x = 23,828,472.67/6,575.50
  6. Step 6: Final answer
    x = 3,623.82

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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.