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Finding the Fourth Proportional to 11,599.79, 16,007.76 and 6,294.65

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Solution

The fourth proportional to 11,599.79, 16,007.76 and 6,294.65 is: 8,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.79 : 16,007.76 = 6,294.65 : x
  2. Step 2: Convert to fraction form
    11,599.79/16,007.76 = 6,294.65/x
  3. Step 3: Cross multiply
    11,599.79x = 16,007.76 × 6,294.65
  4. Step 4: Simplify right side
    11,599.79x = 100,763,166.45
  5. Step 5: Solve for x
    x = 100,763,166.45/11,599.79
  6. Step 6: Final answer
    x = 8,686.64

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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.