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Finding the Fourth Proportional to 6,266.76, 9,389.84 and 3,802.36

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Solution

The fourth proportional to 6,266.76, 9,389.84 and 3,802.36 is: 5,697.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.76 : 9,389.84 = 3,802.36 : x
  2. Step 2: Convert to fraction form
    6,266.76/9,389.84 = 3,802.36/x
  3. Step 3: Cross multiply
    6,266.76x = 9,389.84 × 3,802.36
  4. Step 4: Simplify right side
    6,266.76x = 35,703,552.02
  5. Step 5: Solve for x
    x = 35,703,552.02/6,266.76
  6. Step 6: Final answer
    x = 5,697.29

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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.