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Finding the Fourth Proportional to 10,097, 15,133.63 and 4,543.84

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Solution

The fourth proportional to 10,097, 15,133.63 and 4,543.84 is: 6,810.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097 : 15,133.63 = 4,543.84 : x
  2. Step 2: Convert to fraction form
    10,097/15,133.63 = 4,543.84/x
  3. Step 3: Cross multiply
    10,097x = 15,133.63 × 4,543.84
  4. Step 4: Simplify right side
    10,097x = 68,764,793.34
  5. Step 5: Solve for x
    x = 68,764,793.34/10,097
  6. Step 6: Final answer
    x = 6,810.42

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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.