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Finding the Fourth Proportional to 19,803.84, 29,706.30 and 5,763.30

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Solution

The fourth proportional to 19,803.84, 29,706.30 and 5,763.30 is: 8,645.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,803.84 : 29,706.30 = 5,763.30 : x
  2. Step 2: Convert to fraction form
    19,803.84/29,706.30 = 5,763.30/x
  3. Step 3: Cross multiply
    19,803.84x = 29,706.30 × 5,763.30
  4. Step 4: Simplify right side
    19,803.84x = 171,206,318.79
  5. Step 5: Solve for x
    x = 171,206,318.79/19,803.84
  6. Step 6: Final answer
    x = 8,645.11

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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.