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Finding the Fourth Proportional to 9,245.77, 12,744.15 and 7,225.63

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Solution

The fourth proportional to 9,245.77, 12,744.15 and 7,225.63 is: 9,959.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.77 : 12,744.15 = 7,225.63 : x
  2. Step 2: Convert to fraction form
    9,245.77/12,744.15 = 7,225.63/x
  3. Step 3: Cross multiply
    9,245.77x = 12,744.15 × 7,225.63
  4. Step 4: Simplify right side
    9,245.77x = 92,084,512.56
  5. Step 5: Solve for x
    x = 92,084,512.56/9,245.77
  6. Step 6: Final answer
    x = 9,959.64

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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.