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Finding the Fourth Proportional to 8,953.56, 12,356.82 and 6,165

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Solution

The fourth proportional to 8,953.56, 12,356.82 and 6,165 is: 8,508.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,953.56 : 12,356.82 = 6,165 : x
  2. Step 2: Convert to fraction form
    8,953.56/12,356.82 = 6,165/x
  3. Step 3: Cross multiply
    8,953.56x = 12,356.82 × 6,165
  4. Step 4: Simplify right side
    8,953.56x = 76,179,795.30
  5. Step 5: Solve for x
    x = 76,179,795.30/8,953.56
  6. Step 6: Final answer
    x = 8,508.32

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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.