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Finding the Fourth Proportional to 9,469.32, 13,071.68 and 5,931.80

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Solution

The fourth proportional to 9,469.32, 13,071.68 and 5,931.80 is: 8,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.32 : 13,071.68 = 5,931.80 : x
  2. Step 2: Convert to fraction form
    9,469.32/13,071.68 = 5,931.80/x
  3. Step 3: Cross multiply
    9,469.32x = 13,071.68 × 5,931.80
  4. Step 4: Simplify right side
    9,469.32x = 77,538,591.42
  5. Step 5: Solve for x
    x = 77,538,591.42/9,469.32
  6. Step 6: Final answer
    x = 8,188.40

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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.