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Finding the Fourth Proportional to 6,911.88, 9,532.74 and 5,023.56

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Solution

The fourth proportional to 6,911.88, 9,532.74 and 5,023.56 is: 6,928.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.88 : 9,532.74 = 5,023.56 : x
  2. Step 2: Convert to fraction form
    6,911.88/9,532.74 = 5,023.56/x
  3. Step 3: Cross multiply
    6,911.88x = 9,532.74 × 5,023.56
  4. Step 4: Simplify right side
    6,911.88x = 47,888,291.35
  5. Step 5: Solve for x
    x = 47,888,291.35/6,911.88
  6. Step 6: Final answer
    x = 6,928.40

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1.5x scale

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.