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Finding the Fourth Proportional to 8,409.68, 12,594.36 and 8,357.84

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Solution

The fourth proportional to 8,409.68, 12,594.36 and 8,357.84 is: 12,516.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.68 : 12,594.36 = 8,357.84 : x
  2. Step 2: Convert to fraction form
    8,409.68/12,594.36 = 8,357.84/x
  3. Step 3: Cross multiply
    8,409.68x = 12,594.36 × 8,357.84
  4. Step 4: Simplify right side
    8,409.68x = 105,261,645.78
  5. Step 5: Solve for x
    x = 105,261,645.78/8,409.68
  6. Step 6: Final answer
    x = 12,516.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.