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Finding the Fourth Proportional to 7,297.92, 10,063.44 and 6,706.08

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Solution

The fourth proportional to 7,297.92, 10,063.44 and 6,706.08 is: 9,247.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.92 : 10,063.44 = 6,706.08 : x
  2. Step 2: Convert to fraction form
    7,297.92/10,063.44 = 6,706.08/x
  3. Step 3: Cross multiply
    7,297.92x = 10,063.44 × 6,706.08
  4. Step 4: Simplify right side
    7,297.92x = 67,486,233.72
  5. Step 5: Solve for x
    x = 67,486,233.72/7,297.92
  6. Step 6: Final answer
    x = 9,247.32

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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.