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Finding the Fourth Proportional to 6,767.52, 9,341.76 and 4,410.24

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Solution

The fourth proportional to 6,767.52, 9,341.76 and 4,410.24 is: 6,087.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.52 : 9,341.76 = 4,410.24 : x
  2. Step 2: Convert to fraction form
    6,767.52/9,341.76 = 4,410.24/x
  3. Step 3: Cross multiply
    6,767.52x = 9,341.76 × 4,410.24
  4. Step 4: Simplify right side
    6,767.52x = 41,199,403.62
  5. Step 5: Solve for x
    x = 41,199,403.62/6,767.52
  6. Step 6: Final answer
    x = 6,087.81

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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.