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Finding the Fourth Proportional to 6,476.22, 9,718.99 and 4,391.06

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Solution

The fourth proportional to 6,476.22, 9,718.99 and 4,391.06 is: 6,589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.22 : 9,718.99 = 4,391.06 : x
  2. Step 2: Convert to fraction form
    6,476.22/9,718.99 = 4,391.06/x
  3. Step 3: Cross multiply
    6,476.22x = 9,718.99 × 4,391.06
  4. Step 4: Simplify right side
    6,476.22x = 42,676,608.66
  5. Step 5: Solve for x
    x = 42,676,608.66/6,476.22
  6. Step 6: Final answer
    x = 6,589.74

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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.