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Finding the Fourth Proportional to 7,242.41, 9,992.23 and 4,728.11

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Solution

The fourth proportional to 7,242.41, 9,992.23 and 4,728.11 is: 6,523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.41 : 9,992.23 = 4,728.11 : x
  2. Step 2: Convert to fraction form
    7,242.41/9,992.23 = 4,728.11/x
  3. Step 3: Cross multiply
    7,242.41x = 9,992.23 × 4,728.11
  4. Step 4: Simplify right side
    7,242.41x = 47,244,300.80
  5. Step 5: Solve for x
    x = 47,244,300.80/7,242.41
  6. Step 6: Final answer
    x = 6,523.28

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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.