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Finding the Fourth Proportional to 6,646.32, 9,969.03 and 2,696.40

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Solution

The fourth proportional to 6,646.32, 9,969.03 and 2,696.40 is: 4,044.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.32 : 9,969.03 = 2,696.40 : x
  2. Step 2: Convert to fraction form
    6,646.32/9,969.03 = 2,696.40/x
  3. Step 3: Cross multiply
    6,646.32x = 9,969.03 × 2,696.40
  4. Step 4: Simplify right side
    6,646.32x = 26,880,492.49
  5. Step 5: Solve for x
    x = 26,880,492.49/6,646.32
  6. Step 6: Final answer
    x = 4,044.42

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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.