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Finding the Fourth Proportional to 7,057, 9,734.34 and 4,698.28

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Solution

The fourth proportional to 7,057, 9,734.34 and 4,698.28 is: 6,480.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057 : 9,734.34 = 4,698.28 : x
  2. Step 2: Convert to fraction form
    7,057/9,734.34 = 4,698.28/x
  3. Step 3: Cross multiply
    7,057x = 9,734.34 × 4,698.28
  4. Step 4: Simplify right side
    7,057x = 45,734,654.94
  5. Step 5: Solve for x
    x = 45,734,654.94/7,057
  6. Step 6: Final answer
    x = 6,480.75

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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.