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Finding the Fourth Proportional to 4,116, 6,173.40 and 1,518.48

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Solution

The fourth proportional to 4,116, 6,173.40 and 1,518.48 is: 2,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116 : 6,173.40 = 1,518.48 : x
  2. Step 2: Convert to fraction form
    4,116/6,173.40 = 1,518.48/x
  3. Step 3: Cross multiply
    4,116x = 6,173.40 × 1,518.48
  4. Step 4: Simplify right side
    4,116x = 9,374,184.43
  5. Step 5: Solve for x
    x = 9,374,184.43/4,116
  6. Step 6: Final answer
    x = 2,277.50

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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.