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Finding the Fourth Proportional to 12,809.95, 17,672.63 and 7,772.32

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Solution

The fourth proportional to 12,809.95, 17,672.63 and 7,772.32 is: 10,722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.95 : 17,672.63 = 7,772.32 : x
  2. Step 2: Convert to fraction form
    12,809.95/17,672.63 = 7,772.32/x
  3. Step 3: Cross multiply
    12,809.95x = 17,672.63 × 7,772.32
  4. Step 4: Simplify right side
    12,809.95x = 137,357,335.60
  5. Step 5: Solve for x
    x = 137,357,335.60/12,809.95
  6. Step 6: Final answer
    x = 10,722.71

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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.