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Finding the Fourth Proportional to 9,093.97, 13,641.81 and 3,547.77

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Solution

The fourth proportional to 9,093.97, 13,641.81 and 3,547.77 is: 5,321.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.97 : 13,641.81 = 3,547.77 : x
  2. Step 2: Convert to fraction form
    9,093.97/13,641.81 = 3,547.77/x
  3. Step 3: Cross multiply
    9,093.97x = 13,641.81 × 3,547.77
  4. Step 4: Simplify right side
    9,093.97x = 48,398,004.26
  5. Step 5: Solve for x
    x = 48,398,004.26/9,093.97
  6. Step 6: Final answer
    x = 5,321.99

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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.