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Finding the Fourth Proportional to 6,648.46, 9,956.27 and 4,955.80

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Solution

The fourth proportional to 6,648.46, 9,956.27 and 4,955.80 is: 7,421.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.46 : 9,956.27 = 4,955.80 : x
  2. Step 2: Convert to fraction form
    6,648.46/9,956.27 = 4,955.80/x
  3. Step 3: Cross multiply
    6,648.46x = 9,956.27 × 4,955.80
  4. Step 4: Simplify right side
    6,648.46x = 49,341,282.87
  5. Step 5: Solve for x
    x = 49,341,282.87/6,648.46
  6. Step 6: Final answer
    x = 7,421.46

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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.