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Finding the Fourth Proportional to 10,586.68, 14,608.07 and 6,336.76

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Solution

The fourth proportional to 10,586.68, 14,608.07 and 6,336.76 is: 8,743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.68 : 14,608.07 = 6,336.76 : x
  2. Step 2: Convert to fraction form
    10,586.68/14,608.07 = 6,336.76/x
  3. Step 3: Cross multiply
    10,586.68x = 14,608.07 × 6,336.76
  4. Step 4: Simplify right side
    10,586.68x = 92,567,833.65
  5. Step 5: Solve for x
    x = 92,567,833.65/10,586.68
  6. Step 6: Final answer
    x = 8,743.80

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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.