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Finding the Fourth Proportional to 6,946, 9,585.98 and 4,584.04

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Solution

The fourth proportional to 6,946, 9,585.98 and 4,584.04 is: 6,326.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946 : 9,585.98 = 4,584.04 : x
  2. Step 2: Convert to fraction form
    6,946/9,585.98 = 4,584.04/x
  3. Step 3: Cross multiply
    6,946x = 9,585.98 × 4,584.04
  4. Step 4: Simplify right side
    6,946x = 43,942,515.76
  5. Step 5: Solve for x
    x = 43,942,515.76/6,946
  6. Step 6: Final answer
    x = 6,326.31

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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.