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Finding the Fourth Proportional to 6,809.48, 9,396.06 and 3,824.74

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Solution

The fourth proportional to 6,809.48, 9,396.06 and 3,824.74 is: 5,277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.48 : 9,396.06 = 3,824.74 : x
  2. Step 2: Convert to fraction form
    6,809.48/9,396.06 = 3,824.74/x
  3. Step 3: Cross multiply
    6,809.48x = 9,396.06 × 3,824.74
  4. Step 4: Simplify right side
    6,809.48x = 35,937,486.52
  5. Step 5: Solve for x
    x = 35,937,486.52/6,809.48
  6. Step 6: Final answer
    x = 5,277.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.