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Finding the Fourth Proportional to 10,640.46, 14,683.50 and 5,924.50

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Solution

The fourth proportional to 10,640.46, 14,683.50 and 5,924.50 is: 8,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.46 : 14,683.50 = 5,924.50 : x
  2. Step 2: Convert to fraction form
    10,640.46/14,683.50 = 5,924.50/x
  3. Step 3: Cross multiply
    10,640.46x = 14,683.50 × 5,924.50
  4. Step 4: Simplify right side
    10,640.46x = 86,992,395.75
  5. Step 5: Solve for x
    x = 86,992,395.75/10,640.46
  6. Step 6: Final answer
    x = 8,175.62

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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.