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Finding the Fourth Proportional to 4,605.76, 6,908.64 and 2,006.88

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Solution

The fourth proportional to 4,605.76, 6,908.64 and 2,006.88 is: 3,010.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.76 : 6,908.64 = 2,006.88 : x
  2. Step 2: Convert to fraction form
    4,605.76/6,908.64 = 2,006.88/x
  3. Step 3: Cross multiply
    4,605.76x = 6,908.64 × 2,006.88
  4. Step 4: Simplify right side
    4,605.76x = 13,864,811.44
  5. Step 5: Solve for x
    x = 13,864,811.44/4,605.76
  6. Step 6: Final answer
    x = 3,010.32

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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.