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Finding the Fourth Proportional to 10,356.66, 14,286.14 and 7,328.38

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Solution

The fourth proportional to 10,356.66, 14,286.14 and 7,328.38 is: 10,108.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.66 : 14,286.14 = 7,328.38 : x
  2. Step 2: Convert to fraction form
    10,356.66/14,286.14 = 7,328.38/x
  3. Step 3: Cross multiply
    10,356.66x = 14,286.14 × 7,328.38
  4. Step 4: Simplify right side
    10,356.66x = 104,694,262.65
  5. Step 5: Solve for x
    x = 104,694,262.65/10,356.66
  6. Step 6: Final answer
    x = 10,108.88

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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.