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Finding the Fourth Proportional to 13,854.80, 19,099.86 and 8,546.06

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Solution

The fourth proportional to 13,854.80, 19,099.86 and 8,546.06 is: 11,781.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.80 : 19,099.86 = 8,546.06 : x
  2. Step 2: Convert to fraction form
    13,854.80/19,099.86 = 8,546.06/x
  3. Step 3: Cross multiply
    13,854.80x = 19,099.86 × 8,546.06
  4. Step 4: Simplify right side
    13,854.80x = 163,228,549.55
  5. Step 5: Solve for x
    x = 163,228,549.55/13,854.80
  6. Step 6: Final answer
    x = 11,781.37

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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.