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Finding the Fourth Proportional to 13,847.66, 19,103.13 and 9,065.51

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Solution

The fourth proportional to 13,847.66, 19,103.13 and 9,065.51 is: 12,506.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.66 : 19,103.13 = 9,065.51 : x
  2. Step 2: Convert to fraction form
    13,847.66/19,103.13 = 9,065.51/x
  3. Step 3: Cross multiply
    13,847.66x = 19,103.13 × 9,065.51
  4. Step 4: Simplify right side
    13,847.66x = 173,179,616.05
  5. Step 5: Solve for x
    x = 173,179,616.05/13,847.66
  6. Step 6: Final answer
    x = 12,506.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.