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Finding the Fourth Proportional to 7,444, 10,281.36 and 4,955.68

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Solution

The fourth proportional to 7,444, 10,281.36 and 4,955.68 is: 6,844.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444 : 10,281.36 = 4,955.68 : x
  2. Step 2: Convert to fraction form
    7,444/10,281.36 = 4,955.68/x
  3. Step 3: Cross multiply
    7,444x = 10,281.36 × 4,955.68
  4. Step 4: Simplify right side
    7,444x = 50,951,130.12
  5. Step 5: Solve for x
    x = 50,951,130.12/7,444
  6. Step 6: Final answer
    x = 6,844.59

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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.