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Finding the Fourth Proportional to 7,984.92, 12,004.26 and 6,534.60

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Solution

The fourth proportional to 7,984.92, 12,004.26 and 6,534.60 is: 9,823.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.92 : 12,004.26 = 6,534.60 : x
  2. Step 2: Convert to fraction form
    7,984.92/12,004.26 = 6,534.60/x
  3. Step 3: Cross multiply
    7,984.92x = 12,004.26 × 6,534.60
  4. Step 4: Simplify right side
    7,984.92x = 78,443,037.40
  5. Step 5: Solve for x
    x = 78,443,037.40/7,984.92
  6. Step 6: Final answer
    x = 9,823.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.