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Finding the Fourth Proportional to 4,714.70, 6,610.30 and 4,714.70

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Solution

The fourth proportional to 4,714.70, 6,610.30 and 4,714.70 is: 6,610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.70 : 6,610.30 = 4,714.70 : x
  2. Step 2: Convert to fraction form
    4,714.70/6,610.30 = 4,714.70/x
  3. Step 3: Cross multiply
    4,714.70x = 6,610.30 × 4,714.70
  4. Step 4: Simplify right side
    4,714.70x = 31,165,581.41
  5. Step 5: Solve for x
    x = 31,165,581.41/4,714.70
  6. Step 6: Final answer
    x = 6,610.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.