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Finding the Fourth Proportional to 7,334.42, 10,992.04 and 2,946.78

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Solution

The fourth proportional to 7,334.42, 10,992.04 and 2,946.78 is: 4,416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334.42 : 10,992.04 = 2,946.78 : x
  2. Step 2: Convert to fraction form
    7,334.42/10,992.04 = 2,946.78/x
  3. Step 3: Cross multiply
    7,334.42x = 10,992.04 × 2,946.78
  4. Step 4: Simplify right side
    7,334.42x = 32,391,116.26
  5. Step 5: Solve for x
    x = 32,391,116.26/7,334.42
  6. Step 6: Final answer
    x = 4,416.32

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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.