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Finding the Fourth Proportional to 7,574.84, 11,363.81 and 3,192.30

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Solution

The fourth proportional to 7,574.84, 11,363.81 and 3,192.30 is: 4,789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.84 : 11,363.81 = 3,192.30 : x
  2. Step 2: Convert to fraction form
    7,574.84/11,363.81 = 3,192.30/x
  3. Step 3: Cross multiply
    7,574.84x = 11,363.81 × 3,192.30
  4. Step 4: Simplify right side
    7,574.84x = 36,276,674.70
  5. Step 5: Solve for x
    x = 36,276,674.70/7,574.84
  6. Step 6: Final answer
    x = 4,789.10

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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.