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Finding the Fourth Proportional to 6,378, 9,513.06 and 6,012.06

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Solution

The fourth proportional to 6,378, 9,513.06 and 6,012.06 is: 8,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378 : 9,513.06 = 6,012.06 : x
  2. Step 2: Convert to fraction form
    6,378/9,513.06 = 6,012.06/x
  3. Step 3: Cross multiply
    6,378x = 9,513.06 × 6,012.06
  4. Step 4: Simplify right side
    6,378x = 57,193,087.50
  5. Step 5: Solve for x
    x = 57,193,087.50/6,378
  6. Step 6: Final answer
    x = 8,967.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.