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Finding the Fourth Proportional to 27,341.96, 41,018.42 and 9,813.16

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Solution

The fourth proportional to 27,341.96, 41,018.42 and 9,813.16 is: 14,721.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,341.96 : 41,018.42 = 9,813.16 : x
  2. Step 2: Convert to fraction form
    27,341.96/41,018.42 = 9,813.16/x
  3. Step 3: Cross multiply
    27,341.96x = 41,018.42 × 9,813.16
  4. Step 4: Simplify right side
    27,341.96x = 402,520,318.41
  5. Step 5: Solve for x
    x = 402,520,318.41/27,341.96
  6. Step 6: Final answer
    x = 14,721.71

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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.