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Finding the Fourth Proportional to 10,000.67, 13,801.04 and 5,524.33

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Solution

The fourth proportional to 10,000.67, 13,801.04 and 5,524.33 is: 7,623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.67 : 13,801.04 = 5,524.33 : x
  2. Step 2: Convert to fraction form
    10,000.67/13,801.04 = 5,524.33/x
  3. Step 3: Cross multiply
    10,000.67x = 13,801.04 × 5,524.33
  4. Step 4: Simplify right side
    10,000.67x = 76,241,457.90
  5. Step 5: Solve for x
    x = 76,241,457.90/10,000.67
  6. Step 6: Final answer
    x = 7,623.64

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Half scale
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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.