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Finding the Fourth Proportional to 6,337.24, 9,505.80 and 1,720.24

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Solution

The fourth proportional to 6,337.24, 9,505.80 and 1,720.24 is: 2,580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.24 : 9,505.80 = 1,720.24 : x
  2. Step 2: Convert to fraction form
    6,337.24/9,505.80 = 1,720.24/x
  3. Step 3: Cross multiply
    6,337.24x = 9,505.80 × 1,720.24
  4. Step 4: Simplify right side
    6,337.24x = 16,352,257.39
  5. Step 5: Solve for x
    x = 16,352,257.39/6,337.24
  6. Step 6: Final answer
    x = 2,580.34

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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.