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Finding the Fourth Proportional to 6,802.67, 9,386.14 and 5,211.22

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Solution

The fourth proportional to 6,802.67, 9,386.14 and 5,211.22 is: 7,190.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.67 : 9,386.14 = 5,211.22 : x
  2. Step 2: Convert to fraction form
    6,802.67/9,386.14 = 5,211.22/x
  3. Step 3: Cross multiply
    6,802.67x = 9,386.14 × 5,211.22
  4. Step 4: Simplify right side
    6,802.67x = 48,913,240.49
  5. Step 5: Solve for x
    x = 48,913,240.49/6,802.67
  6. Step 6: Final answer
    x = 7,190.30

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1.5x scale

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.