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Finding the Fourth Proportional to 10,096.65, 13,929.62 and 6,116.31

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Solution

The fourth proportional to 10,096.65, 13,929.62 and 6,116.31 is: 8,438.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.65 : 13,929.62 = 6,116.31 : x
  2. Step 2: Convert to fraction form
    10,096.65/13,929.62 = 6,116.31/x
  3. Step 3: Cross multiply
    10,096.65x = 13,929.62 × 6,116.31
  4. Step 4: Simplify right side
    10,096.65x = 85,197,843.52
  5. Step 5: Solve for x
    x = 85,197,843.52/10,096.65
  6. Step 6: Final answer
    x = 8,438.23

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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.