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Finding the Fourth Proportional to 5,625.93, 7,764.21 and 4,140.66

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Solution

The fourth proportional to 5,625.93, 7,764.21 and 4,140.66 is: 5,714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,625.93 : 7,764.21 = 4,140.66 : x
  2. Step 2: Convert to fraction form
    5,625.93/7,764.21 = 4,140.66/x
  3. Step 3: Cross multiply
    5,625.93x = 7,764.21 × 4,140.66
  4. Step 4: Simplify right side
    5,625.93x = 32,148,953.78
  5. Step 5: Solve for x
    x = 32,148,953.78/5,625.93
  6. Step 6: Final answer
    x = 5,714.42

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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.