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Finding the Fourth Proportional to 11,797.52, 16,282.08 and 7,617.92

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Solution

The fourth proportional to 11,797.52, 16,282.08 and 7,617.92 is: 10,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.52 : 16,282.08 = 7,617.92 : x
  2. Step 2: Convert to fraction form
    11,797.52/16,282.08 = 7,617.92/x
  3. Step 3: Cross multiply
    11,797.52x = 16,282.08 × 7,617.92
  4. Step 4: Simplify right side
    11,797.52x = 124,035,582.87
  5. Step 5: Solve for x
    x = 124,035,582.87/11,797.52
  6. Step 6: Final answer
    x = 10,513.70

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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.