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Finding the Fourth Proportional to 5,005.64, 6,907.64 and 2,767.44

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Solution

The fourth proportional to 5,005.64, 6,907.64 and 2,767.44 is: 3,818.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.64 : 6,907.64 = 2,767.44 : x
  2. Step 2: Convert to fraction form
    5,005.64/6,907.64 = 2,767.44/x
  3. Step 3: Cross multiply
    5,005.64x = 6,907.64 × 2,767.44
  4. Step 4: Simplify right side
    5,005.64x = 19,116,479.24
  5. Step 5: Solve for x
    x = 19,116,479.24/5,005.64
  6. Step 6: Final answer
    x = 3,818.99

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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.