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Finding the Fourth Proportional to 12,906.60, 19,322.10 and 9,634.20

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Solution

The fourth proportional to 12,906.60, 19,322.10 and 9,634.20 is: 14,423.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.60 : 19,322.10 = 9,634.20 : x
  2. Step 2: Convert to fraction form
    12,906.60/19,322.10 = 9,634.20/x
  3. Step 3: Cross multiply
    12,906.60x = 19,322.10 × 9,634.20
  4. Step 4: Simplify right side
    12,906.60x = 186,152,975.82
  5. Step 5: Solve for x
    x = 186,152,975.82/12,906.60
  6. Step 6: Final answer
    x = 14,423.08

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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.