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Finding the Fourth Proportional to 7,212.32, 9,954.32 and 6,031.52

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Solution

The fourth proportional to 7,212.32, 9,954.32 and 6,031.52 is: 8,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.32 : 9,954.32 = 6,031.52 : x
  2. Step 2: Convert to fraction form
    7,212.32/9,954.32 = 6,031.52/x
  3. Step 3: Cross multiply
    7,212.32x = 9,954.32 × 6,031.52
  4. Step 4: Simplify right side
    7,212.32x = 60,039,680.17
  5. Step 5: Solve for x
    x = 60,039,680.17/7,212.32
  6. Step 6: Final answer
    x = 8,324.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.