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Finding the Fourth Proportional to 10,396.65, 14,349.95 and 5,923.06

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Solution

The fourth proportional to 10,396.65, 14,349.95 and 5,923.06 is: 8,175.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.65 : 14,349.95 = 5,923.06 : x
  2. Step 2: Convert to fraction form
    10,396.65/14,349.95 = 5,923.06/x
  3. Step 3: Cross multiply
    10,396.65x = 14,349.95 × 5,923.06
  4. Step 4: Simplify right side
    10,396.65x = 84,995,601.68
  5. Step 5: Solve for x
    x = 84,995,601.68/10,396.65
  6. Step 6: Final answer
    x = 8,175.29

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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.