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Finding the Fourth Proportional to 9,200.58, 12,698.02 and 6,849.42

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Solution

The fourth proportional to 9,200.58, 12,698.02 and 6,849.42 is: 9,453.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.58 : 12,698.02 = 6,849.42 : x
  2. Step 2: Convert to fraction form
    9,200.58/12,698.02 = 6,849.42/x
  3. Step 3: Cross multiply
    9,200.58x = 12,698.02 × 6,849.42
  4. Step 4: Simplify right side
    9,200.58x = 86,974,072.15
  5. Step 5: Solve for x
    x = 86,974,072.15/9,200.58
  6. Step 6: Final answer
    x = 9,453.11

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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.