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Finding the Fourth Proportional to 15,992.56, 22,069.65 and 9,282.07

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Solution

The fourth proportional to 15,992.56, 22,069.65 and 9,282.07 is: 12,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,992.56 : 22,069.65 = 9,282.07 : x
  2. Step 2: Convert to fraction form
    15,992.56/22,069.65 = 9,282.07/x
  3. Step 3: Cross multiply
    15,992.56x = 22,069.65 × 9,282.07
  4. Step 4: Simplify right side
    15,992.56x = 204,852,036.18
  5. Step 5: Solve for x
    x = 204,852,036.18/15,992.56
  6. Step 6: Final answer
    x = 12,809.21

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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.