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Finding the Fourth Proportional to 7,872, 10,863.36 and 4,335.20

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Solution

The fourth proportional to 7,872, 10,863.36 and 4,335.20 is: 5,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872 : 10,863.36 = 4,335.20 : x
  2. Step 2: Convert to fraction form
    7,872/10,863.36 = 4,335.20/x
  3. Step 3: Cross multiply
    7,872x = 10,863.36 × 4,335.20
  4. Step 4: Simplify right side
    7,872x = 47,094,838.27
  5. Step 5: Solve for x
    x = 47,094,838.27/7,872
  6. Step 6: Final answer
    x = 5,982.58

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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.