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Finding the Fourth Proportional to 4,714.78, 6,506.46 and 2,590.42

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Solution

The fourth proportional to 4,714.78, 6,506.46 and 2,590.42 is: 3,574.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.78 : 6,506.46 = 2,590.42 : x
  2. Step 2: Convert to fraction form
    4,714.78/6,506.46 = 2,590.42/x
  3. Step 3: Cross multiply
    4,714.78x = 6,506.46 × 2,590.42
  4. Step 4: Simplify right side
    4,714.78x = 16,854,464.11
  5. Step 5: Solve for x
    x = 16,854,464.11/4,714.78
  6. Step 6: Final answer
    x = 3,574.81

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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.