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Finding the Fourth Proportional to 4,046, 6,069.96 and 1,310

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Solution

The fourth proportional to 4,046, 6,069.96 and 1,310 is: 1,965.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046 : 6,069.96 = 1,310 : x
  2. Step 2: Convert to fraction form
    4,046/6,069.96 = 1,310/x
  3. Step 3: Cross multiply
    4,046x = 6,069.96 × 1,310
  4. Step 4: Simplify right side
    4,046x = 7,951,647.60
  5. Step 5: Solve for x
    x = 7,951,647.60/4,046
  6. Step 6: Final answer
    x = 1,965.31

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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.