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Finding the Fourth Proportional to 22,996.84, 34,498.14 and 7,416.04

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Solution

The fourth proportional to 22,996.84, 34,498.14 and 7,416.04 is: 11,124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996.84 : 34,498.14 = 7,416.04 : x
  2. Step 2: Convert to fraction form
    22,996.84/34,498.14 = 7,416.04/x
  3. Step 3: Cross multiply
    22,996.84x = 34,498.14 × 7,416.04
  4. Step 4: Simplify right side
    22,996.84x = 255,839,586.17
  5. Step 5: Solve for x
    x = 255,839,586.17/22,996.84
  6. Step 6: Final answer
    x = 11,124.99

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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.