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Finding the Fourth Proportional to 7,471.68, 11,206.92 and 1,925.22

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Solution

The fourth proportional to 7,471.68, 11,206.92 and 1,925.22 is: 2,887.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.68 : 11,206.92 = 1,925.22 : x
  2. Step 2: Convert to fraction form
    7,471.68/11,206.92 = 1,925.22/x
  3. Step 3: Cross multiply
    7,471.68x = 11,206.92 × 1,925.22
  4. Step 4: Simplify right side
    7,471.68x = 21,575,786.52
  5. Step 5: Solve for x
    x = 21,575,786.52/7,471.68
  6. Step 6: Final answer
    x = 2,887.68

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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.