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Finding the Fourth Proportional to 7,214.80, 10,822.20 and 6,242.80

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Solution

The fourth proportional to 7,214.80, 10,822.20 and 6,242.80 is: 9,364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.80 : 10,822.20 = 6,242.80 : x
  2. Step 2: Convert to fraction form
    7,214.80/10,822.20 = 6,242.80/x
  3. Step 3: Cross multiply
    7,214.80x = 10,822.20 × 6,242.80
  4. Step 4: Simplify right side
    7,214.80x = 67,560,830.16
  5. Step 5: Solve for x
    x = 67,560,830.16/7,214.80
  6. Step 6: Final answer
    x = 9,364.20

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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.