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Finding the Fourth Proportional to 7,194.84, 10,784.68 and 2,812.20

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Solution

The fourth proportional to 7,194.84, 10,784.68 and 2,812.20 is: 4,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.84 : 10,784.68 = 2,812.20 : x
  2. Step 2: Convert to fraction form
    7,194.84/10,784.68 = 2,812.20/x
  3. Step 3: Cross multiply
    7,194.84x = 10,784.68 × 2,812.20
  4. Step 4: Simplify right side
    7,194.84x = 30,328,677.10
  5. Step 5: Solve for x
    x = 30,328,677.10/7,194.84
  6. Step 6: Final answer
    x = 4,215.34

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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.