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Finding the Fourth Proportional to 7,954.66, 10,977.68 and 4,418.14

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Solution

The fourth proportional to 7,954.66, 10,977.68 and 4,418.14 is: 6,097.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.66 : 10,977.68 = 4,418.14 : x
  2. Step 2: Convert to fraction form
    7,954.66/10,977.68 = 4,418.14/x
  3. Step 3: Cross multiply
    7,954.66x = 10,977.68 × 4,418.14
  4. Step 4: Simplify right side
    7,954.66x = 48,500,927.12
  5. Step 5: Solve for x
    x = 48,500,927.12/7,954.66
  6. Step 6: Final answer
    x = 6,097.17

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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.