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Finding the Fourth Proportional to 22,709.71, 34,054.84 and 7,914.25

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Solution

The fourth proportional to 22,709.71, 34,054.84 and 7,914.25 is: 11,867.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.71 : 34,054.84 = 7,914.25 : x
  2. Step 2: Convert to fraction form
    22,709.71/34,054.84 = 7,914.25/x
  3. Step 3: Cross multiply
    22,709.71x = 34,054.84 × 7,914.25
  4. Step 4: Simplify right side
    22,709.71x = 269,518,307.62
  5. Step 5: Solve for x
    x = 269,518,307.62/22,709.71
  6. Step 6: Final answer
    x = 11,867.98

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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.