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Finding the Fourth Proportional to 9,222.66, 12,739.28 and 7,460.91

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Solution

The fourth proportional to 9,222.66, 12,739.28 and 7,460.91 is: 10,305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.66 : 12,739.28 = 7,460.91 : x
  2. Step 2: Convert to fraction form
    9,222.66/12,739.28 = 7,460.91/x
  3. Step 3: Cross multiply
    9,222.66x = 12,739.28 × 7,460.91
  4. Step 4: Simplify right side
    9,222.66x = 95,046,584.24
  5. Step 5: Solve for x
    x = 95,046,584.24/9,222.66
  6. Step 6: Final answer
    x = 10,305.77

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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.