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Finding the Fourth Proportional to 4,895.86, 6,744.88 and 4,006.48

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Solution

The fourth proportional to 4,895.86, 6,744.88 and 4,006.48 is: 5,519.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,895.86 : 6,744.88 = 4,006.48 : x
  2. Step 2: Convert to fraction form
    4,895.86/6,744.88 = 4,006.48/x
  3. Step 3: Cross multiply
    4,895.86x = 6,744.88 × 4,006.48
  4. Step 4: Simplify right side
    4,895.86x = 27,023,226.82
  5. Step 5: Solve for x
    x = 27,023,226.82/4,895.86
  6. Step 6: Final answer
    x = 5,519.61

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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.