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Finding the Fourth Proportional to 15,908.75, 21,954.08 and 9,284.75

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Solution

The fourth proportional to 15,908.75, 21,954.08 and 9,284.75 is: 12,812.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,908.75 : 21,954.08 = 9,284.75 : x
  2. Step 2: Convert to fraction form
    15,908.75/21,954.08 = 9,284.75/x
  3. Step 3: Cross multiply
    15,908.75x = 21,954.08 × 9,284.75
  4. Step 4: Simplify right side
    15,908.75x = 203,838,097.86
  5. Step 5: Solve for x
    x = 203,838,097.86/15,908.75
  6. Step 6: Final answer
    x = 12,812.96

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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.