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Finding the Fourth Proportional to 8,584, 11,846.64 and 5,439.04

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Solution

The fourth proportional to 8,584, 11,846.64 and 5,439.04 is: 7,506.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584 : 11,846.64 = 5,439.04 : x
  2. Step 2: Convert to fraction form
    8,584/11,846.64 = 5,439.04/x
  3. Step 3: Cross multiply
    8,584x = 11,846.64 × 5,439.04
  4. Step 4: Simplify right side
    8,584x = 64,434,348.83
  5. Step 5: Solve for x
    x = 64,434,348.83/8,584
  6. Step 6: Final answer
    x = 7,506.33

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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.