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Finding the Fourth Proportional to 7,369.56, 11,078.64 and 6,828.48

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Solution

The fourth proportional to 7,369.56, 11,078.64 and 6,828.48 is: 10,265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,369.56 : 11,078.64 = 6,828.48 : x
  2. Step 2: Convert to fraction form
    7,369.56/11,078.64 = 6,828.48/x
  3. Step 3: Cross multiply
    7,369.56x = 11,078.64 × 6,828.48
  4. Step 4: Simplify right side
    7,369.56x = 75,650,271.67
  5. Step 5: Solve for x
    x = 75,650,271.67/7,369.56
  6. Step 6: Final answer
    x = 10,265.24

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1.5x scale

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.