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Finding the Fourth Proportional to 7,668.20, 11,476.70 and 5,364.20

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Solution

The fourth proportional to 7,668.20, 11,476.70 and 5,364.20 is: 8,028.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.20 : 11,476.70 = 5,364.20 : x
  2. Step 2: Convert to fraction form
    7,668.20/11,476.70 = 5,364.20/x
  3. Step 3: Cross multiply
    7,668.20x = 11,476.70 × 5,364.20
  4. Step 4: Simplify right side
    7,668.20x = 61,563,314.14
  5. Step 5: Solve for x
    x = 61,563,314.14/7,668.20
  6. Step 6: Final answer
    x = 8,028.39

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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.