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Finding the Fourth Proportional to 6,068.96, 9,101.46 and 1,964

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Solution

The fourth proportional to 6,068.96, 9,101.46 and 1,964 is: 2,945.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,068.96 : 9,101.46 = 1,964 : x
  2. Step 2: Convert to fraction form
    6,068.96/9,101.46 = 1,964/x
  3. Step 3: Cross multiply
    6,068.96x = 9,101.46 × 1,964
  4. Step 4: Simplify right side
    6,068.96x = 17,875,267.44
  5. Step 5: Solve for x
    x = 17,875,267.44/6,068.96
  6. Step 6: Final answer
    x = 2,945.36

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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.