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Finding the Fourth Proportional to 7,954.74, 10,972.71 and 5,265.99

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Solution

The fourth proportional to 7,954.74, 10,972.71 and 5,265.99 is: 7,263.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.74 : 10,972.71 = 5,265.99 : x
  2. Step 2: Convert to fraction form
    7,954.74/10,972.71 = 5,265.99/x
  3. Step 3: Cross multiply
    7,954.74x = 10,972.71 × 5,265.99
  4. Step 4: Simplify right side
    7,954.74x = 57,782,181.13
  5. Step 5: Solve for x
    x = 57,782,181.13/7,954.74
  6. Step 6: Final answer
    x = 7,263.87

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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.