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Finding the Fourth Proportional to 9,999.34, 13,799.20 and 5,523.22

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Solution

The fourth proportional to 9,999.34, 13,799.20 and 5,523.22 is: 7,622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.34 : 13,799.20 = 5,523.22 : x
  2. Step 2: Convert to fraction form
    9,999.34/13,799.20 = 5,523.22/x
  3. Step 3: Cross multiply
    9,999.34x = 13,799.20 × 5,523.22
  4. Step 4: Simplify right side
    9,999.34x = 76,216,017.42
  5. Step 5: Solve for x
    x = 76,216,017.42/9,999.34
  6. Step 6: Final answer
    x = 7,622.10

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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.