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Finding the Fourth Proportional to 6,719.76, 9,274.10 and 4,361.04

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Solution

The fourth proportional to 6,719.76, 9,274.10 and 4,361.04 is: 6,018.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,719.76 : 9,274.10 = 4,361.04 : x
  2. Step 2: Convert to fraction form
    6,719.76/9,274.10 = 4,361.04/x
  3. Step 3: Cross multiply
    6,719.76x = 9,274.10 × 4,361.04
  4. Step 4: Simplify right side
    6,719.76x = 40,444,699.26
  5. Step 5: Solve for x
    x = 40,444,699.26/6,719.76
  6. Step 6: Final answer
    x = 6,018.77

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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.