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Finding the Fourth Proportional to 4,577.30, 6,899.78 and 4,309.73

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Solution

The fourth proportional to 4,577.30, 6,899.78 and 4,309.73 is: 6,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.30 : 6,899.78 = 4,309.73 : x
  2. Step 2: Convert to fraction form
    4,577.30/6,899.78 = 4,309.73/x
  3. Step 3: Cross multiply
    4,577.30x = 6,899.78 × 4,309.73
  4. Step 4: Simplify right side
    4,577.30x = 29,736,188.86
  5. Step 5: Solve for x
    x = 29,736,188.86/4,577.30
  6. Step 6: Final answer
    x = 6,496.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.