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Finding the Fourth Proportional to 9,671.76, 13,346.91 and 5,423.22

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Solution

The fourth proportional to 9,671.76, 13,346.91 and 5,423.22 is: 7,483.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.76 : 13,346.91 = 5,423.22 : x
  2. Step 2: Convert to fraction form
    9,671.76/13,346.91 = 5,423.22/x
  3. Step 3: Cross multiply
    9,671.76x = 13,346.91 × 5,423.22
  4. Step 4: Simplify right side
    9,671.76x = 72,383,229.25
  5. Step 5: Solve for x
    x = 72,383,229.25/9,671.76
  6. Step 6: Final answer
    x = 7,483.98

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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.