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Finding the Fourth Proportional to 6,820.86, 10,230.93 and 2,203.50

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Solution

The fourth proportional to 6,820.86, 10,230.93 and 2,203.50 is: 3,305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.86 : 10,230.93 = 2,203.50 : x
  2. Step 2: Convert to fraction form
    6,820.86/10,230.93 = 2,203.50/x
  3. Step 3: Cross multiply
    6,820.86x = 10,230.93 × 2,203.50
  4. Step 4: Simplify right side
    6,820.86x = 22,543,854.26
  5. Step 5: Solve for x
    x = 22,543,854.26/6,820.86
  6. Step 6: Final answer
    x = 3,305.13

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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.