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Finding the Fourth Proportional to 6,814.82, 9,431.04 and 6,650.93

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Solution

The fourth proportional to 6,814.82, 9,431.04 and 6,650.93 is: 9,204.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.82 : 9,431.04 = 6,650.93 : x
  2. Step 2: Convert to fraction form
    6,814.82/9,431.04 = 6,650.93/x
  3. Step 3: Cross multiply
    6,814.82x = 9,431.04 × 6,650.93
  4. Step 4: Simplify right side
    6,814.82x = 62,725,106.46
  5. Step 5: Solve for x
    x = 62,725,106.46/6,814.82
  6. Step 6: Final answer
    x = 9,204.23

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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.