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Finding the Fourth Proportional to 6,016.50, 8,305.09 and 5,385.92

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Solution

The fourth proportional to 6,016.50, 8,305.09 and 5,385.92 is: 7,434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.50 : 8,305.09 = 5,385.92 : x
  2. Step 2: Convert to fraction form
    6,016.50/8,305.09 = 5,385.92/x
  3. Step 3: Cross multiply
    6,016.50x = 8,305.09 × 5,385.92
  4. Step 4: Simplify right side
    6,016.50x = 44,730,495.34
  5. Step 5: Solve for x
    x = 44,730,495.34/6,016.50
  6. Step 6: Final answer
    x = 7,434.64

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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.