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Finding the Fourth Proportional to 8,548.92, 12,822.12 and 5,260.32

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Solution

The fourth proportional to 8,548.92, 12,822.12 and 5,260.32 is: 7,889.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.92 : 12,822.12 = 5,260.32 : x
  2. Step 2: Convert to fraction form
    8,548.92/12,822.12 = 5,260.32/x
  3. Step 3: Cross multiply
    8,548.92x = 12,822.12 × 5,260.32
  4. Step 4: Simplify right side
    8,548.92x = 67,448,454.28
  5. Step 5: Solve for x
    x = 67,448,454.28/8,548.92
  6. Step 6: Final answer
    x = 7,889.70

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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.