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Finding the Fourth Proportional to 7,263, 10,894.64 and 2,069.01

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Solution

The fourth proportional to 7,263, 10,894.64 and 2,069.01 is: 3,103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263 : 10,894.64 = 2,069.01 : x
  2. Step 2: Convert to fraction form
    7,263/10,894.64 = 2,069.01/x
  3. Step 3: Cross multiply
    7,263x = 10,894.64 × 2,069.01
  4. Step 4: Simplify right side
    7,263x = 22,541,108.76
  5. Step 5: Solve for x
    x = 22,541,108.76/7,263
  6. Step 6: Final answer
    x = 3,103.55

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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.