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Finding the Fourth Proportional to 6,202.77, 9,304.15 and 5,809.11

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Solution

The fourth proportional to 6,202.77, 9,304.15 and 5,809.11 is: 8,713.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.77 : 9,304.15 = 5,809.11 : x
  2. Step 2: Convert to fraction form
    6,202.77/9,304.15 = 5,809.11/x
  3. Step 3: Cross multiply
    6,202.77x = 9,304.15 × 5,809.11
  4. Step 4: Simplify right side
    6,202.77x = 54,048,830.81
  5. Step 5: Solve for x
    x = 54,048,830.81/6,202.77
  6. Step 6: Final answer
    x = 8,713.66

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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.