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Finding the Fourth Proportional to 9,095.78, 13,649.43 and 5,207.78

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Solution

The fourth proportional to 9,095.78, 13,649.43 and 5,207.78 is: 7,814.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.78 : 13,649.43 = 5,207.78 : x
  2. Step 2: Convert to fraction form
    9,095.78/13,649.43 = 5,207.78/x
  3. Step 3: Cross multiply
    9,095.78x = 13,649.43 × 5,207.78
  4. Step 4: Simplify right side
    9,095.78x = 71,083,228.57
  5. Step 5: Solve for x
    x = 71,083,228.57/9,095.78
  6. Step 6: Final answer
    x = 7,814.97

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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.