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Finding the Fourth Proportional to 6,233.84, 9,322.33 and 4,653.68

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Solution

The fourth proportional to 6,233.84, 9,322.33 and 4,653.68 is: 6,959.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.84 : 9,322.33 = 4,653.68 : x
  2. Step 2: Convert to fraction form
    6,233.84/9,322.33 = 4,653.68/x
  3. Step 3: Cross multiply
    6,233.84x = 9,322.33 × 4,653.68
  4. Step 4: Simplify right side
    6,233.84x = 43,383,140.67
  5. Step 5: Solve for x
    x = 43,383,140.67/6,233.84
  6. Step 6: Final answer
    x = 6,959.30

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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.