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Finding the Fourth Proportional to 9,169.84, 12,653.99 and 5,137.02

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Solution

The fourth proportional to 9,169.84, 12,653.99 and 5,137.02 is: 7,088.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.84 : 12,653.99 = 5,137.02 : x
  2. Step 2: Convert to fraction form
    9,169.84/12,653.99 = 5,137.02/x
  3. Step 3: Cross multiply
    9,169.84x = 12,653.99 × 5,137.02
  4. Step 4: Simplify right side
    9,169.84x = 65,003,793.29
  5. Step 5: Solve for x
    x = 65,003,793.29/9,169.84
  6. Step 6: Final answer
    x = 7,088.87

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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.