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Finding the Fourth Proportional to 7,102.14, 10,644.63 and 5,019.09

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Solution

The fourth proportional to 7,102.14, 10,644.63 and 5,019.09 is: 7,522.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.14 : 10,644.63 = 5,019.09 : x
  2. Step 2: Convert to fraction form
    7,102.14/10,644.63 = 5,019.09/x
  3. Step 3: Cross multiply
    7,102.14x = 10,644.63 × 5,019.09
  4. Step 4: Simplify right side
    7,102.14x = 53,426,355.99
  5. Step 5: Solve for x
    x = 53,426,355.99/7,102.14
  6. Step 6: Final answer
    x = 7,522.57

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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.