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Finding the Fourth Proportional to 4,714.94, 6,506.82 and 2,619.07

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Solution

The fourth proportional to 4,714.94, 6,506.82 and 2,619.07 is: 3,614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.94 : 6,506.82 = 2,619.07 : x
  2. Step 2: Convert to fraction form
    4,714.94/6,506.82 = 2,619.07/x
  3. Step 3: Cross multiply
    4,714.94x = 6,506.82 × 2,619.07
  4. Step 4: Simplify right side
    4,714.94x = 17,041,771.43
  5. Step 5: Solve for x
    x = 17,041,771.43/4,714.94
  6. Step 6: Final answer
    x = 3,614.42

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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.