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Finding the Fourth Proportional to 27,777.48, 41,671.98 and 9,309

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Solution

The fourth proportional to 27,777.48, 41,671.98 and 9,309 is: 13,965.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,777.48 : 41,671.98 = 9,309 : x
  2. Step 2: Convert to fraction form
    27,777.48/41,671.98 = 9,309/x
  3. Step 3: Cross multiply
    27,777.48x = 41,671.98 × 9,309
  4. Step 4: Simplify right side
    27,777.48x = 387,924,461.82
  5. Step 5: Solve for x
    x = 387,924,461.82/27,777.48
  6. Step 6: Final answer
    x = 13,965.43

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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.