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Finding the Fourth Proportional to 15,782.68, 23,674.02 and 5,394.52

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Solution

The fourth proportional to 15,782.68, 23,674.02 and 5,394.52 is: 8,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.68 : 23,674.02 = 5,394.52 : x
  2. Step 2: Convert to fraction form
    15,782.68/23,674.02 = 5,394.52/x
  3. Step 3: Cross multiply
    15,782.68x = 23,674.02 × 5,394.52
  4. Step 4: Simplify right side
    15,782.68x = 127,709,974.37
  5. Step 5: Solve for x
    x = 127,709,974.37/15,782.68
  6. Step 6: Final answer
    x = 8,091.78

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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.