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Finding the Fourth Proportional to 8,410.62, 11,606.10 and 5,051.44

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Solution

The fourth proportional to 8,410.62, 11,606.10 and 5,051.44 is: 6,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.62 : 11,606.10 = 5,051.44 : x
  2. Step 2: Convert to fraction form
    8,410.62/11,606.10 = 5,051.44/x
  3. Step 3: Cross multiply
    8,410.62x = 11,606.10 × 5,051.44
  4. Step 4: Simplify right side
    8,410.62x = 58,627,530.41
  5. Step 5: Solve for x
    x = 58,627,530.41/8,410.62
  6. Step 6: Final answer
    x = 6,970.65

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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.