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Finding the Fourth Proportional to 7,522, 11,288.12 and 4,522.48

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Solution

The fourth proportional to 7,522, 11,288.12 and 4,522.48 is: 6,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522 : 11,288.12 = 4,522.48 : x
  2. Step 2: Convert to fraction form
    7,522/11,288.12 = 4,522.48/x
  3. Step 3: Cross multiply
    7,522x = 11,288.12 × 4,522.48
  4. Step 4: Simplify right side
    7,522x = 51,050,296.94
  5. Step 5: Solve for x
    x = 51,050,296.94/7,522
  6. Step 6: Final answer
    x = 6,786.80

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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.