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Finding the Fourth Proportional to 6,841.72, 10,253.10 and 3,134.68

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Solution

The fourth proportional to 6,841.72, 10,253.10 and 3,134.68 is: 4,697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.72 : 10,253.10 = 3,134.68 : x
  2. Step 2: Convert to fraction form
    6,841.72/10,253.10 = 3,134.68/x
  3. Step 3: Cross multiply
    6,841.72x = 10,253.10 × 3,134.68
  4. Step 4: Simplify right side
    6,841.72x = 32,140,187.51
  5. Step 5: Solve for x
    x = 32,140,187.51/6,841.72
  6. Step 6: Final answer
    x = 4,697.68

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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.