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Finding the Fourth Proportional to 7,138.76, 9,851.71 and 3,994.94

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Solution

The fourth proportional to 7,138.76, 9,851.71 and 3,994.94 is: 5,513.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.76 : 9,851.71 = 3,994.94 : x
  2. Step 2: Convert to fraction form
    7,138.76/9,851.71 = 3,994.94/x
  3. Step 3: Cross multiply
    7,138.76x = 9,851.71 × 3,994.94
  4. Step 4: Simplify right side
    7,138.76x = 39,356,990.35
  5. Step 5: Solve for x
    x = 39,356,990.35/7,138.76
  6. Step 6: Final answer
    x = 5,513.14

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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.