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Finding the Fourth Proportional to 9,998.42, 15,006.76 and 5,071.46

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Solution

The fourth proportional to 9,998.42, 15,006.76 and 5,071.46 is: 7,611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.42 : 15,006.76 = 5,071.46 : x
  2. Step 2: Convert to fraction form
    9,998.42/15,006.76 = 5,071.46/x
  3. Step 3: Cross multiply
    9,998.42x = 15,006.76 × 5,071.46
  4. Step 4: Simplify right side
    9,998.42x = 76,106,183.07
  5. Step 5: Solve for x
    x = 76,106,183.07/9,998.42
  6. Step 6: Final answer
    x = 7,611.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.