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Finding the Fourth Proportional to 6,070.70, 9,102 and 4,902.14

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Solution

The fourth proportional to 6,070.70, 9,102 and 4,902.14 is: 7,349.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,070.70 : 9,102 = 4,902.14 : x
  2. Step 2: Convert to fraction form
    6,070.70/9,102 = 4,902.14/x
  3. Step 3: Cross multiply
    6,070.70x = 9,102 × 4,902.14
  4. Step 4: Simplify right side
    6,070.70x = 44,619,278.28
  5. Step 5: Solve for x
    x = 44,619,278.28/6,070.70
  6. Step 6: Final answer
    x = 7,349.94

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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.