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Finding the Fourth Proportional to 7,019.50, 9,675.36 and 4,976.08

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Solution

The fourth proportional to 7,019.50, 9,675.36 and 4,976.08 is: 6,858.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,019.50 : 9,675.36 = 4,976.08 : x
  2. Step 2: Convert to fraction form
    7,019.50/9,675.36 = 4,976.08/x
  3. Step 3: Cross multiply
    7,019.50x = 9,675.36 × 4,976.08
  4. Step 4: Simplify right side
    7,019.50x = 48,145,365.39
  5. Step 5: Solve for x
    x = 48,145,365.39/7,019.50
  6. Step 6: Final answer
    x = 6,858.80

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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.