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Finding the Fourth Proportional to 10,523.81, 14,522.94 and 5,743.79

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Solution

The fourth proportional to 10,523.81, 14,522.94 and 5,743.79 is: 7,926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.81 : 14,522.94 = 5,743.79 : x
  2. Step 2: Convert to fraction form
    10,523.81/14,522.94 = 5,743.79/x
  3. Step 3: Cross multiply
    10,523.81x = 14,522.94 × 5,743.79
  4. Step 4: Simplify right side
    10,523.81x = 83,416,616.21
  5. Step 5: Solve for x
    x = 83,416,616.21/10,523.81
  6. Step 6: Final answer
    x = 7,926.47

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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.