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Finding the Fourth Proportional to 15,782.01, 23,641.01 and 7,336.68

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Solution

The fourth proportional to 15,782.01, 23,641.01 and 7,336.68 is: 10,990.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.01 : 23,641.01 = 7,336.68 : x
  2. Step 2: Convert to fraction form
    15,782.01/23,641.01 = 7,336.68/x
  3. Step 3: Cross multiply
    15,782.01x = 23,641.01 × 7,336.68
  4. Step 4: Simplify right side
    15,782.01x = 173,446,488.56
  5. Step 5: Solve for x
    x = 173,446,488.56/15,782.01
  6. Step 6: Final answer
    x = 10,990.14

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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.