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Finding the Fourth Proportional to 7,271.74, 10,885.74 and 6,578.74

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Solution

The fourth proportional to 7,271.74, 10,885.74 and 6,578.74 is: 9,848.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.74 : 10,885.74 = 6,578.74 : x
  2. Step 2: Convert to fraction form
    7,271.74/10,885.74 = 6,578.74/x
  3. Step 3: Cross multiply
    7,271.74x = 10,885.74 × 6,578.74
  4. Step 4: Simplify right side
    7,271.74x = 71,614,453.17
  5. Step 5: Solve for x
    x = 71,614,453.17/7,271.74
  6. Step 6: Final answer
    x = 9,848.32

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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.