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Finding the Fourth Proportional to 6,880.56, 9,492.15 and 5,284.38

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Solution

The fourth proportional to 6,880.56, 9,492.15 and 5,284.38 is: 7,290.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.56 : 9,492.15 = 5,284.38 : x
  2. Step 2: Convert to fraction form
    6,880.56/9,492.15 = 5,284.38/x
  3. Step 3: Cross multiply
    6,880.56x = 9,492.15 × 5,284.38
  4. Step 4: Simplify right side
    6,880.56x = 50,160,127.62
  5. Step 5: Solve for x
    x = 50,160,127.62/6,880.56
  6. Step 6: Final answer
    x = 7,290.12

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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.