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Finding the Fourth Proportional to 8,586.84, 11,838.06 and 5,929.68

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Solution

The fourth proportional to 8,586.84, 11,838.06 and 5,929.68 is: 8,174.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.84 : 11,838.06 = 5,929.68 : x
  2. Step 2: Convert to fraction form
    8,586.84/11,838.06 = 5,929.68/x
  3. Step 3: Cross multiply
    8,586.84x = 11,838.06 × 5,929.68
  4. Step 4: Simplify right side
    8,586.84x = 70,195,907.62
  5. Step 5: Solve for x
    x = 70,195,907.62/8,586.84
  6. Step 6: Final answer
    x = 8,174.82

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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.