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Finding the Fourth Proportional to 4,659.97, 6,430.87 and 2,535.62

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Solution

The fourth proportional to 4,659.97, 6,430.87 and 2,535.62 is: 3,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.97 : 6,430.87 = 2,535.62 : x
  2. Step 2: Convert to fraction form
    4,659.97/6,430.87 = 2,535.62/x
  3. Step 3: Cross multiply
    4,659.97x = 6,430.87 × 2,535.62
  4. Step 4: Simplify right side
    4,659.97x = 16,306,242.59
  5. Step 5: Solve for x
    x = 16,306,242.59/4,659.97
  6. Step 6: Final answer
    x = 3,499.22

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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.