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Finding the Fourth Proportional to 7,843.72, 10,824.30 and 4,307

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Solution

The fourth proportional to 7,843.72, 10,824.30 and 4,307 is: 5,943.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.72 : 10,824.30 = 4,307 : x
  2. Step 2: Convert to fraction form
    7,843.72/10,824.30 = 4,307/x
  3. Step 3: Cross multiply
    7,843.72x = 10,824.30 × 4,307
  4. Step 4: Simplify right side
    7,843.72x = 46,620,260.10
  5. Step 5: Solve for x
    x = 46,620,260.10/7,843.72
  6. Step 6: Final answer
    x = 5,943.64

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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.