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Finding the Fourth Proportional to 6,292.35, 8,683.83 and 4,164.17

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Solution

The fourth proportional to 6,292.35, 8,683.83 and 4,164.17 is: 5,746.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.35 : 8,683.83 = 4,164.17 : x
  2. Step 2: Convert to fraction form
    6,292.35/8,683.83 = 4,164.17/x
  3. Step 3: Cross multiply
    6,292.35x = 8,683.83 × 4,164.17
  4. Step 4: Simplify right side
    6,292.35x = 36,160,900.95
  5. Step 5: Solve for x
    x = 36,160,900.95/6,292.35
  6. Step 6: Final answer
    x = 5,746.80

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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.