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Finding the Fourth Proportional to 6,477.98, 9,714.92 and 2,779.22

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Solution

The fourth proportional to 6,477.98, 9,714.92 and 2,779.22 is: 4,167.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.98 : 9,714.92 = 2,779.22 : x
  2. Step 2: Convert to fraction form
    6,477.98/9,714.92 = 2,779.22/x
  3. Step 3: Cross multiply
    6,477.98x = 9,714.92 × 2,779.22
  4. Step 4: Simplify right side
    6,477.98x = 26,999,910.35
  5. Step 5: Solve for x
    x = 26,999,910.35/6,477.98
  6. Step 6: Final answer
    x = 4,167.95

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.