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Finding the Fourth Proportional to 8,278.69, 11,424.80 and 4,502.07

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Solution

The fourth proportional to 8,278.69, 11,424.80 and 4,502.07 is: 6,212.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.69 : 11,424.80 = 4,502.07 : x
  2. Step 2: Convert to fraction form
    8,278.69/11,424.80 = 4,502.07/x
  3. Step 3: Cross multiply
    8,278.69x = 11,424.80 × 4,502.07
  4. Step 4: Simplify right side
    8,278.69x = 51,435,249.34
  5. Step 5: Solve for x
    x = 51,435,249.34/8,278.69
  6. Step 6: Final answer
    x = 6,212.97

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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.