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Finding the Fourth Proportional to 27,666.90, 41,493.60 and 7,943.40

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Solution

The fourth proportional to 27,666.90, 41,493.60 and 7,943.40 is: 11,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,666.90 : 41,493.60 = 7,943.40 : x
  2. Step 2: Convert to fraction form
    27,666.90/41,493.60 = 7,943.40/x
  3. Step 3: Cross multiply
    27,666.90x = 41,493.60 × 7,943.40
  4. Step 4: Simplify right side
    27,666.90x = 329,600,262.24
  5. Step 5: Solve for x
    x = 329,600,262.24/27,666.90
  6. Step 6: Final answer
    x = 11,913.16

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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.