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Finding the Fourth Proportional to 6,318.94, 9,476.78 and 1,875.56

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Solution

The fourth proportional to 6,318.94, 9,476.78 and 1,875.56 is: 2,812.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.94 : 9,476.78 = 1,875.56 : x
  2. Step 2: Convert to fraction form
    6,318.94/9,476.78 = 1,875.56/x
  3. Step 3: Cross multiply
    6,318.94x = 9,476.78 × 1,875.56
  4. Step 4: Simplify right side
    6,318.94x = 17,774,269.50
  5. Step 5: Solve for x
    x = 17,774,269.50/6,318.94
  6. Step 6: Final answer
    x = 2,812.86

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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.