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Finding the Fourth Proportional to 4,473.86, 6,709.86 and 2,252.08

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Solution

The fourth proportional to 4,473.86, 6,709.86 and 2,252.08 is: 3,377.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.86 : 6,709.86 = 2,252.08 : x
  2. Step 2: Convert to fraction form
    4,473.86/6,709.86 = 2,252.08/x
  3. Step 3: Cross multiply
    4,473.86x = 6,709.86 × 2,252.08
  4. Step 4: Simplify right side
    4,473.86x = 15,111,141.51
  5. Step 5: Solve for x
    x = 15,111,141.51/4,473.86
  6. Step 6: Final answer
    x = 3,377.65

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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.