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Finding the Fourth Proportional to 16,652.83, 22,978.77 and 9,483.70

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Solution

The fourth proportional to 16,652.83, 22,978.77 and 9,483.70 is: 13,086.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,652.83 : 22,978.77 = 9,483.70 : x
  2. Step 2: Convert to fraction form
    16,652.83/22,978.77 = 9,483.70/x
  3. Step 3: Cross multiply
    16,652.83x = 22,978.77 × 9,483.70
  4. Step 4: Simplify right side
    16,652.83x = 217,923,761.05
  5. Step 5: Solve for x
    x = 217,923,761.05/16,652.83
  6. Step 6: Final answer
    x = 13,086.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.