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Finding the Fourth Proportional to 8,497.58, 11,727.59 and 5,142.24

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Solution

The fourth proportional to 8,497.58, 11,727.59 and 5,142.24 is: 7,096.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.58 : 11,727.59 = 5,142.24 : x
  2. Step 2: Convert to fraction form
    8,497.58/11,727.59 = 5,142.24/x
  3. Step 3: Cross multiply
    8,497.58x = 11,727.59 × 5,142.24
  4. Step 4: Simplify right side
    8,497.58x = 60,306,056.69
  5. Step 5: Solve for x
    x = 60,306,056.69/8,497.58
  6. Step 6: Final answer
    x = 7,096.85

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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.