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Finding the Fourth Proportional to 7,972.80, 11,953.80 and 4,225.20

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Solution

The fourth proportional to 7,972.80, 11,953.80 and 4,225.20 is: 6,334.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.80 : 11,953.80 = 4,225.20 : x
  2. Step 2: Convert to fraction form
    7,972.80/11,953.80 = 4,225.20/x
  3. Step 3: Cross multiply
    7,972.80x = 11,953.80 × 4,225.20
  4. Step 4: Simplify right side
    7,972.80x = 50,507,195.76
  5. Step 5: Solve for x
    x = 50,507,195.76/7,972.80
  6. Step 6: Final answer
    x = 6,334.94

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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.