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Finding the Fourth Proportional to 6,318.52, 9,475.10 and 1,935

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Solution

The fourth proportional to 6,318.52, 9,475.10 and 1,935 is: 2,901.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.52 : 9,475.10 = 1,935 : x
  2. Step 2: Convert to fraction form
    6,318.52/9,475.10 = 1,935/x
  3. Step 3: Cross multiply
    6,318.52x = 9,475.10 × 1,935
  4. Step 4: Simplify right side
    6,318.52x = 18,334,318.50
  5. Step 5: Solve for x
    x = 18,334,318.50/6,318.52
  6. Step 6: Final answer
    x = 2,901.68

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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.