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Finding the Fourth Proportional to 13,853.77, 19,116 and 7,885.55

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Solution

The fourth proportional to 13,853.77, 19,116 and 7,885.55 is: 10,880.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.77 : 19,116 = 7,885.55 : x
  2. Step 2: Convert to fraction form
    13,853.77/19,116 = 7,885.55/x
  3. Step 3: Cross multiply
    13,853.77x = 19,116 × 7,885.55
  4. Step 4: Simplify right side
    13,853.77x = 150,740,221.59
  5. Step 5: Solve for x
    x = 150,740,221.59/13,853.77
  6. Step 6: Final answer
    x = 10,880.81

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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.