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Finding the Fourth Proportional to 27,805.78, 41,712.93 and 9,342.10

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Solution

The fourth proportional to 27,805.78, 41,712.93 and 9,342.10 is: 14,014.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,805.78 : 41,712.93 = 9,342.10 : x
  2. Step 2: Convert to fraction form
    27,805.78/41,712.93 = 9,342.10/x
  3. Step 3: Cross multiply
    27,805.78x = 41,712.93 × 9,342.10
  4. Step 4: Simplify right side
    27,805.78x = 389,686,363.35
  5. Step 5: Solve for x
    x = 389,686,363.35/27,805.78
  6. Step 6: Final answer
    x = 14,014.58

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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.