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Finding the Fourth Proportional to 22,705.94, 34,058.88 and 7,124.78

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Solution

The fourth proportional to 22,705.94, 34,058.88 and 7,124.78 is: 10,687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,705.94 : 34,058.88 = 7,124.78 : x
  2. Step 2: Convert to fraction form
    22,705.94/34,058.88 = 7,124.78/x
  3. Step 3: Cross multiply
    22,705.94x = 34,058.88 × 7,124.78
  4. Step 4: Simplify right side
    22,705.94x = 242,662,027.05
  5. Step 5: Solve for x
    x = 242,662,027.05/22,705.94
  6. Step 6: Final answer
    x = 10,687.16

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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.