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Finding the Fourth Proportional to 8,584.76, 11,846.68 and 4,807.92

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Solution

The fourth proportional to 8,584.76, 11,846.68 and 4,807.92 is: 6,634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.76 : 11,846.68 = 4,807.92 : x
  2. Step 2: Convert to fraction form
    8,584.76/11,846.68 = 4,807.92/x
  3. Step 3: Cross multiply
    8,584.76x = 11,846.68 × 4,807.92
  4. Step 4: Simplify right side
    8,584.76x = 56,957,889.71
  5. Step 5: Solve for x
    x = 56,957,889.71/8,584.76
  6. Step 6: Final answer
    x = 6,634.77

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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.