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Finding the Fourth Proportional to 7,223.76, 10,837.36 and 2,293.40

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Solution

The fourth proportional to 7,223.76, 10,837.36 and 2,293.40 is: 3,440.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.76 : 10,837.36 = 2,293.40 : x
  2. Step 2: Convert to fraction form
    7,223.76/10,837.36 = 2,293.40/x
  3. Step 3: Cross multiply
    7,223.76x = 10,837.36 × 2,293.40
  4. Step 4: Simplify right side
    7,223.76x = 24,854,401.42
  5. Step 5: Solve for x
    x = 24,854,401.42/7,223.76
  6. Step 6: Final answer
    x = 3,440.65

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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.