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Finding the Fourth Proportional to 22,709.84, 34,070.24 and 7,127.46

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Solution

The fourth proportional to 22,709.84, 34,070.24 and 7,127.46 is: 10,692.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.84 : 34,070.24 = 7,127.46 : x
  2. Step 2: Convert to fraction form
    22,709.84/34,070.24 = 7,127.46/x
  3. Step 3: Cross multiply
    22,709.84x = 34,070.24 × 7,127.46
  4. Step 4: Simplify right side
    22,709.84x = 242,834,272.79
  5. Step 5: Solve for x
    x = 242,834,272.79/22,709.84
  6. Step 6: Final answer
    x = 10,692.91

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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.