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Finding the Fourth Proportional to 6,855.76, 10,293.36 and 6,542.56

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Solution

The fourth proportional to 6,855.76, 10,293.36 and 6,542.56 is: 9,823.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.76 : 10,293.36 = 6,542.56 : x
  2. Step 2: Convert to fraction form
    6,855.76/10,293.36 = 6,542.56/x
  3. Step 3: Cross multiply
    6,855.76x = 10,293.36 × 6,542.56
  4. Step 4: Simplify right side
    6,855.76x = 67,344,925.40
  5. Step 5: Solve for x
    x = 67,344,925.40/6,855.76
  6. Step 6: Final answer
    x = 9,823.12

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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.