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Finding the Fourth Proportional to 7,929, 10,942.37 and 4,392.23

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Solution

The fourth proportional to 7,929, 10,942.37 and 4,392.23 is: 6,061.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,929 : 10,942.37 = 4,392.23 : x
  2. Step 2: Convert to fraction form
    7,929/10,942.37 = 4,392.23/x
  3. Step 3: Cross multiply
    7,929x = 10,942.37 × 4,392.23
  4. Step 4: Simplify right side
    7,929x = 48,061,329.11
  5. Step 5: Solve for x
    x = 48,061,329.11/7,929
  6. Step 6: Final answer
    x = 6,061.46

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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.