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Finding the Fourth Proportional to 26,046.16, 39,070.31 and 7,578.16

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Solution

The fourth proportional to 26,046.16, 39,070.31 and 7,578.16 is: 11,367.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,046.16 : 39,070.31 = 7,578.16 : x
  2. Step 2: Convert to fraction form
    26,046.16/39,070.31 = 7,578.16/x
  3. Step 3: Cross multiply
    26,046.16x = 39,070.31 × 7,578.16
  4. Step 4: Simplify right side
    26,046.16x = 296,081,060.43
  5. Step 5: Solve for x
    x = 296,081,060.43/26,046.16
  6. Step 6: Final answer
    x = 11,367.55

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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.