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Finding the Fourth Proportional to 7,246.86, 9,999.60 and 4,180.20

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Solution

The fourth proportional to 7,246.86, 9,999.60 and 4,180.20 is: 5,768.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.86 : 9,999.60 = 4,180.20 : x
  2. Step 2: Convert to fraction form
    7,246.86/9,999.60 = 4,180.20/x
  3. Step 3: Cross multiply
    7,246.86x = 9,999.60 × 4,180.20
  4. Step 4: Simplify right side
    7,246.86x = 41,800,327.92
  5. Step 5: Solve for x
    x = 41,800,327.92/7,246.86
  6. Step 6: Final answer
    x = 5,768.06

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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.