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Finding the Fourth Proportional to 9,289.68, 12,804.72 and 6,304.56

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Solution

The fourth proportional to 9,289.68, 12,804.72 and 6,304.56 is: 8,690.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.68 : 12,804.72 = 6,304.56 : x
  2. Step 2: Convert to fraction form
    9,289.68/12,804.72 = 6,304.56/x
  3. Step 3: Cross multiply
    9,289.68x = 12,804.72 × 6,304.56
  4. Step 4: Simplify right side
    9,289.68x = 80,728,125.52
  5. Step 5: Solve for x
    x = 80,728,125.52/9,289.68
  6. Step 6: Final answer
    x = 8,690.09

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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.