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Finding the Fourth Proportional to 7,205.79, 9,940.46 and 4,816.34

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Solution

The fourth proportional to 7,205.79, 9,940.46 and 4,816.34 is: 6,644.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.79 : 9,940.46 = 4,816.34 : x
  2. Step 2: Convert to fraction form
    7,205.79/9,940.46 = 4,816.34/x
  3. Step 3: Cross multiply
    7,205.79x = 9,940.46 × 4,816.34
  4. Step 4: Simplify right side
    7,205.79x = 47,876,561.33
  5. Step 5: Solve for x
    x = 47,876,561.33/7,205.79
  6. Step 6: Final answer
    x = 6,644.18

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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.