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Finding the Fourth Proportional to 9,999.72, 13,799.69 and 6,023.48

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Solution

The fourth proportional to 9,999.72, 13,799.69 and 6,023.48 is: 8,312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.72 : 13,799.69 = 6,023.48 : x
  2. Step 2: Convert to fraction form
    9,999.72/13,799.69 = 6,023.48/x
  3. Step 3: Cross multiply
    9,999.72x = 13,799.69 × 6,023.48
  4. Step 4: Simplify right side
    9,999.72x = 83,122,057.61
  5. Step 5: Solve for x
    x = 83,122,057.61/9,999.72
  6. Step 6: Final answer
    x = 8,312.44

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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.