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Finding the Fourth Proportional to 11,794.16, 16,276.16 and 6,488.87

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Solution

The fourth proportional to 11,794.16, 16,276.16 and 6,488.87 is: 8,954.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.16 : 16,276.16 = 6,488.87 : x
  2. Step 2: Convert to fraction form
    11,794.16/16,276.16 = 6,488.87/x
  3. Step 3: Cross multiply
    11,794.16x = 16,276.16 × 6,488.87
  4. Step 4: Simplify right side
    11,794.16x = 105,613,821.18
  5. Step 5: Solve for x
    x = 105,613,821.18/11,794.16
  6. Step 6: Final answer
    x = 8,954.75

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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.