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Finding the Fourth Proportional to 27,083.46, 40,631.82 and 9,314.40

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Solution

The fourth proportional to 27,083.46, 40,631.82 and 9,314.40 is: 13,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,083.46 : 40,631.82 = 9,314.40 : x
  2. Step 2: Convert to fraction form
    27,083.46/40,631.82 = 9,314.40/x
  3. Step 3: Cross multiply
    27,083.46x = 40,631.82 × 9,314.40
  4. Step 4: Simplify right side
    27,083.46x = 378,461,024.21
  5. Step 5: Solve for x
    x = 378,461,024.21/27,083.46
  6. Step 6: Final answer
    x = 13,973.88

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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.