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Finding the Fourth Proportional to 10,000.00, 13,801.32 and 9,671.41

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Solution

The fourth proportional to 10,000.00, 13,801.32 and 9,671.41 is: 13,347.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.00 : 13,801.32 = 9,671.41 : x
  2. Step 2: Convert to fraction form
    10,000.00/13,801.32 = 9,671.41/x
  3. Step 3: Cross multiply
    10,000.00x = 13,801.32 × 9,671.41
  4. Step 4: Simplify right side
    10,000.00x = 133,478,277.78
  5. Step 5: Solve for x
    x = 133,478,277.78/10,000.00
  6. Step 6: Final answer
    x = 13,347.83

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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.