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Finding the Fourth Proportional to 4,714.78, 6,503.49 and 3,390.27

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Solution

The fourth proportional to 4,714.78, 6,503.49 and 3,390.27 is: 4,676.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.78 : 6,503.49 = 3,390.27 : x
  2. Step 2: Convert to fraction form
    4,714.78/6,503.49 = 3,390.27/x
  3. Step 3: Cross multiply
    4,714.78x = 6,503.49 × 3,390.27
  4. Step 4: Simplify right side
    4,714.78x = 22,048,587.04
  5. Step 5: Solve for x
    x = 22,048,587.04/4,714.78
  6. Step 6: Final answer
    x = 4,676.48

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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.