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Finding the Fourth Proportional to 9,583.38, 13,223.34 and 5,494.86

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Solution

The fourth proportional to 9,583.38, 13,223.34 and 5,494.86 is: 7,581.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.38 : 13,223.34 = 5,494.86 : x
  2. Step 2: Convert to fraction form
    9,583.38/13,223.34 = 5,494.86/x
  3. Step 3: Cross multiply
    9,583.38x = 13,223.34 × 5,494.86
  4. Step 4: Simplify right side
    9,583.38x = 72,660,402.03
  5. Step 5: Solve for x
    x = 72,660,402.03/9,583.38
  6. Step 6: Final answer
    x = 7,581.92

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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.