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Finding the Fourth Proportional to 8,977, 13,465.50 and 3,132.04

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Solution

The fourth proportional to 8,977, 13,465.50 and 3,132.04 is: 4,698.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977 : 13,465.50 = 3,132.04 : x
  2. Step 2: Convert to fraction form
    8,977/13,465.50 = 3,132.04/x
  3. Step 3: Cross multiply
    8,977x = 13,465.50 × 3,132.04
  4. Step 4: Simplify right side
    8,977x = 42,174,484.62
  5. Step 5: Solve for x
    x = 42,174,484.62/8,977
  6. Step 6: Final answer
    x = 4,698.06

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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.