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Finding the Fourth Proportional to 7,648.61, 11,471.54 and 4,867.02

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Solution

The fourth proportional to 7,648.61, 11,471.54 and 4,867.02 is: 7,299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.61 : 11,471.54 = 4,867.02 : x
  2. Step 2: Convert to fraction form
    7,648.61/11,471.54 = 4,867.02/x
  3. Step 3: Cross multiply
    7,648.61x = 11,471.54 × 4,867.02
  4. Step 4: Simplify right side
    7,648.61x = 55,832,226.78
  5. Step 5: Solve for x
    x = 55,832,226.78/7,648.61
  6. Step 6: Final answer
    x = 7,299.66

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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.