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Finding the Fourth Proportional to 9,772.92, 14,659.65 and 4,222.80

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Solution

The fourth proportional to 9,772.92, 14,659.65 and 4,222.80 is: 6,334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.92 : 14,659.65 = 4,222.80 : x
  2. Step 2: Convert to fraction form
    9,772.92/14,659.65 = 4,222.80/x
  3. Step 3: Cross multiply
    9,772.92x = 14,659.65 × 4,222.80
  4. Step 4: Simplify right side
    9,772.92x = 61,904,770.02
  5. Step 5: Solve for x
    x = 61,904,770.02/9,772.92
  6. Step 6: Final answer
    x = 6,334.32

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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.