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Finding the Fourth Proportional to 15,782.13, 23,677.05 and 5,252.13

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Solution

The fourth proportional to 15,782.13, 23,677.05 and 5,252.13 is: 7,879.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.13 : 23,677.05 = 5,252.13 : x
  2. Step 2: Convert to fraction form
    15,782.13/23,677.05 = 5,252.13/x
  3. Step 3: Cross multiply
    15,782.13x = 23,677.05 × 5,252.13
  4. Step 4: Simplify right side
    15,782.13x = 124,354,944.62
  5. Step 5: Solve for x
    x = 124,354,944.62/15,782.13
  6. Step 6: Final answer
    x = 7,879.48

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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.