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Finding the Fourth Proportional to 7,034, 10,546.16 and 4,261.44

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Solution

The fourth proportional to 7,034, 10,546.16 and 4,261.44 is: 6,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034 : 10,546.16 = 4,261.44 : x
  2. Step 2: Convert to fraction form
    7,034/10,546.16 = 4,261.44/x
  3. Step 3: Cross multiply
    7,034x = 10,546.16 × 4,261.44
  4. Step 4: Simplify right side
    7,034x = 44,941,828.07
  5. Step 5: Solve for x
    x = 44,941,828.07/7,034
  6. Step 6: Final answer
    x = 6,389.23

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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.