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Finding the Fourth Proportional to 7,460.01, 11,195.01 and 4,176

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Solution

The fourth proportional to 7,460.01, 11,195.01 and 4,176 is: 6,266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.01 : 11,195.01 = 4,176 : x
  2. Step 2: Convert to fraction form
    7,460.01/11,195.01 = 4,176/x
  3. Step 3: Cross multiply
    7,460.01x = 11,195.01 × 4,176
  4. Step 4: Simplify right side
    7,460.01x = 46,750,361.76
  5. Step 5: Solve for x
    x = 46,750,361.76/7,460.01
  6. Step 6: Final answer
    x = 6,266.80

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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.