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Finding the Fourth Proportional to 10,624.56, 14,668.74 and 6,849.42

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Solution

The fourth proportional to 10,624.56, 14,668.74 and 6,849.42 is: 9,456.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.56 : 14,668.74 = 6,849.42 : x
  2. Step 2: Convert to fraction form
    10,624.56/14,668.74 = 6,849.42/x
  3. Step 3: Cross multiply
    10,624.56x = 14,668.74 × 6,849.42
  4. Step 4: Simplify right side
    10,624.56x = 100,472,361.13
  5. Step 5: Solve for x
    x = 100,472,361.13/10,624.56
  6. Step 6: Final answer
    x = 9,456.61

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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.