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Finding the Fourth Proportional to 6,097.78, 8,415.10 and 3,445.21

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Solution

The fourth proportional to 6,097.78, 8,415.10 and 3,445.21 is: 4,754.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.78 : 8,415.10 = 3,445.21 : x
  2. Step 2: Convert to fraction form
    6,097.78/8,415.10 = 3,445.21/x
  3. Step 3: Cross multiply
    6,097.78x = 8,415.10 × 3,445.21
  4. Step 4: Simplify right side
    6,097.78x = 28,991,786.67
  5. Step 5: Solve for x
    x = 28,991,786.67/6,097.78
  6. Step 6: Final answer
    x = 4,754.48

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Double scale
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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.