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Finding the Fourth Proportional to 10,829.71, 14,940.48 and 7,286.77

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Solution

The fourth proportional to 10,829.71, 14,940.48 and 7,286.77 is: 10,052.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.71 : 14,940.48 = 7,286.77 : x
  2. Step 2: Convert to fraction form
    10,829.71/14,940.48 = 7,286.77/x
  3. Step 3: Cross multiply
    10,829.71x = 14,940.48 × 7,286.77
  4. Step 4: Simplify right side
    10,829.71x = 108,867,841.45
  5. Step 5: Solve for x
    x = 108,867,841.45/10,829.71
  6. Step 6: Final answer
    x = 10,052.70

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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.