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Finding the Fourth Proportional to 6,209.85, 8,569.76 and 3,693.32

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Solution

The fourth proportional to 6,209.85, 8,569.76 and 3,693.32 is: 5,096.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.85 : 8,569.76 = 3,693.32 : x
  2. Step 2: Convert to fraction form
    6,209.85/8,569.76 = 3,693.32/x
  3. Step 3: Cross multiply
    6,209.85x = 8,569.76 × 3,693.32
  4. Step 4: Simplify right side
    6,209.85x = 31,650,866.00
  5. Step 5: Solve for x
    x = 31,650,866.00/6,209.85
  6. Step 6: Final answer
    x = 5,096.88

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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.