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Finding the Fourth Proportional to 6,305.96, 9,461.10 and 2,411.48

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Solution

The fourth proportional to 6,305.96, 9,461.10 and 2,411.48 is: 3,618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.96 : 9,461.10 = 2,411.48 : x
  2. Step 2: Convert to fraction form
    6,305.96/9,461.10 = 2,411.48/x
  3. Step 3: Cross multiply
    6,305.96x = 9,461.10 × 2,411.48
  4. Step 4: Simplify right side
    6,305.96x = 22,815,253.43
  5. Step 5: Solve for x
    x = 22,815,253.43/6,305.96
  6. Step 6: Final answer
    x = 3,618.05

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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.