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Finding the Fourth Proportional to 9,051.24, 13,559.30 and 6,675

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Solution

The fourth proportional to 9,051.24, 13,559.30 and 6,675 is: 9,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051.24 : 13,559.30 = 6,675 : x
  2. Step 2: Convert to fraction form
    9,051.24/13,559.30 = 6,675/x
  3. Step 3: Cross multiply
    9,051.24x = 13,559.30 × 6,675
  4. Step 4: Simplify right side
    9,051.24x = 90,508,327.50
  5. Step 5: Solve for x
    x = 90,508,327.50/9,051.24
  6. Step 6: Final answer
    x = 9,999.55

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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.