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Finding the Fourth Proportional to 11,602.31, 16,011 and 6,297.08

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Solution

The fourth proportional to 11,602.31, 16,011 and 6,297.08 is: 8,689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.31 : 16,011 = 6,297.08 : x
  2. Step 2: Convert to fraction form
    11,602.31/16,011 = 6,297.08/x
  3. Step 3: Cross multiply
    11,602.31x = 16,011 × 6,297.08
  4. Step 4: Simplify right side
    11,602.31x = 100,822,467.83
  5. Step 5: Solve for x
    x = 100,822,467.83/11,602.31
  6. Step 6: Final answer
    x = 8,689.87

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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.