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Finding the Fourth Proportional to 9,968.92, 14,933.94 and 8,582.20

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Solution

The fourth proportional to 9,968.92, 14,933.94 and 8,582.20 is: 12,856.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.92 : 14,933.94 = 8,582.20 : x
  2. Step 2: Convert to fraction form
    9,968.92/14,933.94 = 8,582.20/x
  3. Step 3: Cross multiply
    9,968.92x = 14,933.94 × 8,582.20
  4. Step 4: Simplify right side
    9,968.92x = 128,166,059.87
  5. Step 5: Solve for x
    x = 128,166,059.87/9,968.92
  6. Step 6: Final answer
    x = 12,856.56

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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.