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Finding the Fourth Proportional to 6,711.48, 10,055.34 and 6,033.24

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Solution

The fourth proportional to 6,711.48, 10,055.34 and 6,033.24 is: 9,039.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.48 : 10,055.34 = 6,033.24 : x
  2. Step 2: Convert to fraction form
    6,711.48/10,055.34 = 6,033.24/x
  3. Step 3: Cross multiply
    6,711.48x = 10,055.34 × 6,033.24
  4. Step 4: Simplify right side
    6,711.48x = 60,666,279.50
  5. Step 5: Solve for x
    x = 60,666,279.50/6,711.48
  6. Step 6: Final answer
    x = 9,039.18

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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.