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Finding the Fourth Proportional to 8,214.02, 11,335.11 and 4,488.02

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Solution

The fourth proportional to 8,214.02, 11,335.11 and 4,488.02 is: 6,193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.02 : 11,335.11 = 4,488.02 : x
  2. Step 2: Convert to fraction form
    8,214.02/11,335.11 = 4,488.02/x
  3. Step 3: Cross multiply
    8,214.02x = 11,335.11 × 4,488.02
  4. Step 4: Simplify right side
    8,214.02x = 50,872,200.38
  5. Step 5: Solve for x
    x = 50,872,200.38/8,214.02
  6. Step 6: Final answer
    x = 6,193.34

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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.