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Finding the Fourth Proportional to 6,358.25, 8,776.77 and 3,706.49

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Solution

The fourth proportional to 6,358.25, 8,776.77 and 3,706.49 is: 5,116.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.25 : 8,776.77 = 3,706.49 : x
  2. Step 2: Convert to fraction form
    6,358.25/8,776.77 = 3,706.49/x
  3. Step 3: Cross multiply
    6,358.25x = 8,776.77 × 3,706.49
  4. Step 4: Simplify right side
    6,358.25x = 32,531,010.24
  5. Step 5: Solve for x
    x = 32,531,010.24/6,358.25
  6. Step 6: Final answer
    x = 5,116.35

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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.