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Finding the Fourth Proportional to 7,465.20, 11,197.78 and 4,009.20

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Solution

The fourth proportional to 7,465.20, 11,197.78 and 4,009.20 is: 6,013.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.20 : 11,197.78 = 4,009.20 : x
  2. Step 2: Convert to fraction form
    7,465.20/11,197.78 = 4,009.20/x
  3. Step 3: Cross multiply
    7,465.20x = 11,197.78 × 4,009.20
  4. Step 4: Simplify right side
    7,465.20x = 44,894,139.58
  5. Step 5: Solve for x
    x = 44,894,139.58/7,465.20
  6. Step 6: Final answer
    x = 6,013.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.