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Finding the Fourth Proportional to 8,297.03, 11,461.10 and 7,706.54

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Solution

The fourth proportional to 8,297.03, 11,461.10 and 7,706.54 is: 10,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.03 : 11,461.10 = 7,706.54 : x
  2. Step 2: Convert to fraction form
    8,297.03/11,461.10 = 7,706.54/x
  3. Step 3: Cross multiply
    8,297.03x = 11,461.10 × 7,706.54
  4. Step 4: Simplify right side
    8,297.03x = 88,325,415.71
  5. Step 5: Solve for x
    x = 88,325,415.71/8,297.03
  6. Step 6: Final answer
    x = 10,645.42

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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.