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Finding the Fourth Proportional to 14,115.42, 19,468.26 and 9,865.08

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Solution

The fourth proportional to 14,115.42, 19,468.26 and 9,865.08 is: 13,606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115.42 : 19,468.26 = 9,865.08 : x
  2. Step 2: Convert to fraction form
    14,115.42/19,468.26 = 9,865.08/x
  3. Step 3: Cross multiply
    14,115.42x = 19,468.26 × 9,865.08
  4. Step 4: Simplify right side
    14,115.42x = 192,055,942.36
  5. Step 5: Solve for x
    x = 192,055,942.36/14,115.42
  6. Step 6: Final answer
    x = 13,606.11

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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.