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Finding the Fourth Proportional to 6,893.48, 10,293.41 and 6,706.64

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Solution

The fourth proportional to 6,893.48, 10,293.41 and 6,706.64 is: 10,014.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.48 : 10,293.41 = 6,706.64 : x
  2. Step 2: Convert to fraction form
    6,893.48/10,293.41 = 6,706.64/x
  3. Step 3: Cross multiply
    6,893.48x = 10,293.41 × 6,706.64
  4. Step 4: Simplify right side
    6,893.48x = 69,034,110.24
  5. Step 5: Solve for x
    x = 69,034,110.24/6,893.48
  6. Step 6: Final answer
    x = 10,014.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.