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Finding the Fourth Proportional to 6,592.42, 9,100.50 and 4,205.61

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Solution

The fourth proportional to 6,592.42, 9,100.50 and 4,205.61 is: 5,805.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.42 : 9,100.50 = 4,205.61 : x
  2. Step 2: Convert to fraction form
    6,592.42/9,100.50 = 4,205.61/x
  3. Step 3: Cross multiply
    6,592.42x = 9,100.50 × 4,205.61
  4. Step 4: Simplify right side
    6,592.42x = 38,273,153.81
  5. Step 5: Solve for x
    x = 38,273,153.81/6,592.42
  6. Step 6: Final answer
    x = 5,805.63

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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.