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Finding the Fourth Proportional to 9,523.71, 13,142.77 and 5,274.68

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Solution

The fourth proportional to 9,523.71, 13,142.77 and 5,274.68 is: 7,279.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.71 : 13,142.77 = 5,274.68 : x
  2. Step 2: Convert to fraction form
    9,523.71/13,142.77 = 5,274.68/x
  3. Step 3: Cross multiply
    9,523.71x = 13,142.77 × 5,274.68
  4. Step 4: Simplify right side
    9,523.71x = 69,323,926.99
  5. Step 5: Solve for x
    x = 69,323,926.99/9,523.71
  6. Step 6: Final answer
    x = 7,279.09

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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.