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Finding the Fourth Proportional to 16,077.96, 24,116.94 and 4,391.49

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Solution

The fourth proportional to 16,077.96, 24,116.94 and 4,391.49 is: 6,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077.96 : 24,116.94 = 4,391.49 : x
  2. Step 2: Convert to fraction form
    16,077.96/24,116.94 = 4,391.49/x
  3. Step 3: Cross multiply
    16,077.96x = 24,116.94 × 4,391.49
  4. Step 4: Simplify right side
    16,077.96x = 105,909,300.84
  5. Step 5: Solve for x
    x = 105,909,300.84/16,077.96
  6. Step 6: Final answer
    x = 6,587.24

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1.5x scale

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.