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Finding the Fourth Proportional to 11,970.10, 16,514.25 and 6,932.48

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Solution

The fourth proportional to 11,970.10, 16,514.25 and 6,932.48 is: 9,564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.10 : 16,514.25 = 6,932.48 : x
  2. Step 2: Convert to fraction form
    11,970.10/16,514.25 = 6,932.48/x
  3. Step 3: Cross multiply
    11,970.10x = 16,514.25 × 6,932.48
  4. Step 4: Simplify right side
    11,970.10x = 114,484,723.13
  5. Step 5: Solve for x
    x = 114,484,723.13/11,970.10
  6. Step 6: Final answer
    x = 9,564.22

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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.