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Finding the Fourth Proportional to 7,240.90, 9,992.73 and 4,447.30

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Solution

The fourth proportional to 7,240.90, 9,992.73 and 4,447.30 is: 6,137.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.90 : 9,992.73 = 4,447.30 : x
  2. Step 2: Convert to fraction form
    7,240.90/9,992.73 = 4,447.30/x
  3. Step 3: Cross multiply
    7,240.90x = 9,992.73 × 4,447.30
  4. Step 4: Simplify right side
    7,240.90x = 44,440,668.13
  5. Step 5: Solve for x
    x = 44,440,668.13/7,240.90
  6. Step 6: Final answer
    x = 6,137.45

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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.