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Finding the Fourth Proportional to 7,703.32, 11,499.26 and 6,769.15

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Solution

The fourth proportional to 7,703.32, 11,499.26 and 6,769.15 is: 10,104.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.32 : 11,499.26 = 6,769.15 : x
  2. Step 2: Convert to fraction form
    7,703.32/11,499.26 = 6,769.15/x
  3. Step 3: Cross multiply
    7,703.32x = 11,499.26 × 6,769.15
  4. Step 4: Simplify right side
    7,703.32x = 77,840,215.83
  5. Step 5: Solve for x
    x = 77,840,215.83/7,703.32
  6. Step 6: Final answer
    x = 10,104.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.