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Finding the Fourth Proportional to 5,714.09, 8,508.71 and 5,503.91

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Solution

The fourth proportional to 5,714.09, 8,508.71 and 5,503.91 is: 8,195.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.09 : 8,508.71 = 5,503.91 : x
  2. Step 2: Convert to fraction form
    5,714.09/8,508.71 = 5,503.91/x
  3. Step 3: Cross multiply
    5,714.09x = 8,508.71 × 5,503.91
  4. Step 4: Simplify right side
    5,714.09x = 46,831,103.99
  5. Step 5: Solve for x
    x = 46,831,103.99/5,714.09
  6. Step 6: Final answer
    x = 8,195.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.