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Finding the Fourth Proportional to 6,303.66, 9,456.87 and 1,921.01

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Solution

The fourth proportional to 6,303.66, 9,456.87 and 1,921.01 is: 2,881.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.66 : 9,456.87 = 1,921.01 : x
  2. Step 2: Convert to fraction form
    6,303.66/9,456.87 = 1,921.01/x
  3. Step 3: Cross multiply
    6,303.66x = 9,456.87 × 1,921.01
  4. Step 4: Simplify right side
    6,303.66x = 18,166,694.55
  5. Step 5: Solve for x
    x = 18,166,694.55/6,303.66
  6. Step 6: Final answer
    x = 2,881.93

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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.