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Finding the Fourth Proportional to 7,820.74, 10,792.74 and 4,284.28

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Solution

The fourth proportional to 7,820.74, 10,792.74 and 4,284.28 is: 5,912.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.74 : 10,792.74 = 4,284.28 : x
  2. Step 2: Convert to fraction form
    7,820.74/10,792.74 = 4,284.28/x
  3. Step 3: Cross multiply
    7,820.74x = 10,792.74 × 4,284.28
  4. Step 4: Simplify right side
    7,820.74x = 46,239,120.13
  5. Step 5: Solve for x
    x = 46,239,120.13/7,820.74
  6. Step 6: Final answer
    x = 5,912.37

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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.