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Finding the Fourth Proportional to 6,593.76, 9,894.78 and 2,698.20

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Solution

The fourth proportional to 6,593.76, 9,894.78 and 2,698.20 is: 4,048.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.76 : 9,894.78 = 2,698.20 : x
  2. Step 2: Convert to fraction form
    6,593.76/9,894.78 = 2,698.20/x
  3. Step 3: Cross multiply
    6,593.76x = 9,894.78 × 2,698.20
  4. Step 4: Simplify right side
    6,593.76x = 26,698,095.40
  5. Step 5: Solve for x
    x = 26,698,095.40/6,593.76
  6. Step 6: Final answer
    x = 4,048.99

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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.