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Finding the Fourth Proportional to 17,778.36, 24,534 and 9,820.92

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Solution

The fourth proportional to 17,778.36, 24,534 and 9,820.92 is: 13,552.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.36 : 24,534 = 9,820.92 : x
  2. Step 2: Convert to fraction form
    17,778.36/24,534 = 9,820.92/x
  3. Step 3: Cross multiply
    17,778.36x = 24,534 × 9,820.92
  4. Step 4: Simplify right side
    17,778.36x = 240,946,451.28
  5. Step 5: Solve for x
    x = 240,946,451.28/17,778.36
  6. Step 6: Final answer
    x = 13,552.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.