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Finding the Fourth Proportional to 7,558.56, 10,427.22 and 4,905

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Solution

The fourth proportional to 7,558.56, 10,427.22 and 4,905 is: 6,766.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558.56 : 10,427.22 = 4,905 : x
  2. Step 2: Convert to fraction form
    7,558.56/10,427.22 = 4,905/x
  3. Step 3: Cross multiply
    7,558.56x = 10,427.22 × 4,905
  4. Step 4: Simplify right side
    7,558.56x = 51,145,514.10
  5. Step 5: Solve for x
    x = 51,145,514.10/7,558.56
  6. Step 6: Final answer
    x = 6,766.57

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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.