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Finding the Fourth Proportional to 10,706.62, 14,776.24 and 6,169.46

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Solution

The fourth proportional to 10,706.62, 14,776.24 and 6,169.46 is: 8,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.62 : 14,776.24 = 6,169.46 : x
  2. Step 2: Convert to fraction form
    10,706.62/14,776.24 = 6,169.46/x
  3. Step 3: Cross multiply
    10,706.62x = 14,776.24 × 6,169.46
  4. Step 4: Simplify right side
    10,706.62x = 91,161,421.63
  5. Step 5: Solve for x
    x = 91,161,421.63/10,706.62
  6. Step 6: Final answer
    x = 8,514.49

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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.