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Finding the Fourth Proportional to 7,205.28, 9,941.28 and 4,556.04

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Solution

The fourth proportional to 7,205.28, 9,941.28 and 4,556.04 is: 6,286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.28 : 9,941.28 = 4,556.04 : x
  2. Step 2: Convert to fraction form
    7,205.28/9,941.28 = 4,556.04/x
  3. Step 3: Cross multiply
    7,205.28x = 9,941.28 × 4,556.04
  4. Step 4: Simplify right side
    7,205.28x = 45,292,869.33
  5. Step 5: Solve for x
    x = 45,292,869.33/7,205.28
  6. Step 6: Final answer
    x = 6,286.07

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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.