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Finding the Fourth Proportional to 33,178.01, 49,767.01 and 9,802.62

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Solution

The fourth proportional to 33,178.01, 49,767.01 and 9,802.62 is: 14,703.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,178.01 : 49,767.01 = 9,802.62 : x
  2. Step 2: Convert to fraction form
    33,178.01/49,767.01 = 9,802.62/x
  3. Step 3: Cross multiply
    33,178.01x = 49,767.01 × 9,802.62
  4. Step 4: Simplify right side
    33,178.01x = 487,847,063.06
  5. Step 5: Solve for x
    x = 487,847,063.06/33,178.01
  6. Step 6: Final answer
    x = 14,703.93

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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.