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Finding the Fourth Proportional to 7,000.86, 9,662.09 and 4,016.11

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Solution

The fourth proportional to 7,000.86, 9,662.09 and 4,016.11 is: 5,542.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.86 : 9,662.09 = 4,016.11 : x
  2. Step 2: Convert to fraction form
    7,000.86/9,662.09 = 4,016.11/x
  3. Step 3: Cross multiply
    7,000.86x = 9,662.09 × 4,016.11
  4. Step 4: Simplify right side
    7,000.86x = 38,804,016.27
  5. Step 5: Solve for x
    x = 38,804,016.27/7,000.86
  6. Step 6: Final answer
    x = 5,542.75

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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.