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Finding the Fourth Proportional to 8,562.92, 11,816.74 and 4,786.16

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Solution

The fourth proportional to 8,562.92, 11,816.74 and 4,786.16 is: 6,604.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.92 : 11,816.74 = 4,786.16 : x
  2. Step 2: Convert to fraction form
    8,562.92/11,816.74 = 4,786.16/x
  3. Step 3: Cross multiply
    8,562.92x = 11,816.74 × 4,786.16
  4. Step 4: Simplify right side
    8,562.92x = 56,556,808.32
  5. Step 5: Solve for x
    x = 56,556,808.32/8,562.92
  6. Step 6: Final answer
    x = 6,604.85

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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.