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Finding the Fourth Proportional to 6,854.84, 9,450.84 and 5,594.60

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Solution

The fourth proportional to 6,854.84, 9,450.84 and 5,594.60 is: 7,713.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.84 : 9,450.84 = 5,594.60 : x
  2. Step 2: Convert to fraction form
    6,854.84/9,450.84 = 5,594.60/x
  3. Step 3: Cross multiply
    6,854.84x = 9,450.84 × 5,594.60
  4. Step 4: Simplify right side
    6,854.84x = 52,873,669.46
  5. Step 5: Solve for x
    x = 52,873,669.46/6,854.84
  6. Step 6: Final answer
    x = 7,713.33

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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.