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Finding the Fourth Proportional to 7,048.50, 9,728.55 and 4,255.62

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Solution

The fourth proportional to 7,048.50, 9,728.55 and 4,255.62 is: 5,873.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.50 : 9,728.55 = 4,255.62 : x
  2. Step 2: Convert to fraction form
    7,048.50/9,728.55 = 4,255.62/x
  3. Step 3: Cross multiply
    7,048.50x = 9,728.55 × 4,255.62
  4. Step 4: Simplify right side
    7,048.50x = 41,401,011.95
  5. Step 5: Solve for x
    x = 41,401,011.95/7,048.50
  6. Step 6: Final answer
    x = 5,873.73

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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.