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Finding the Fourth Proportional to 7,462.91, 11,194.14 and 1,916.03

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Solution

The fourth proportional to 7,462.91, 11,194.14 and 1,916.03 is: 2,873.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.91 : 11,194.14 = 1,916.03 : x
  2. Step 2: Convert to fraction form
    7,462.91/11,194.14 = 1,916.03/x
  3. Step 3: Cross multiply
    7,462.91x = 11,194.14 × 1,916.03
  4. Step 4: Simplify right side
    7,462.91x = 21,448,308.06
  5. Step 5: Solve for x
    x = 21,448,308.06/7,462.91
  6. Step 6: Final answer
    x = 2,873.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.