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Finding the Fourth Proportional to 6,503.64, 9,754.36 and 1,823.16

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Solution

The fourth proportional to 6,503.64, 9,754.36 and 1,823.16 is: 2,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.64 : 9,754.36 = 1,823.16 : x
  2. Step 2: Convert to fraction form
    6,503.64/9,754.36 = 1,823.16/x
  3. Step 3: Cross multiply
    6,503.64x = 9,754.36 × 1,823.16
  4. Step 4: Simplify right side
    6,503.64x = 17,783,758.98
  5. Step 5: Solve for x
    x = 17,783,758.98/6,503.64
  6. Step 6: Final answer
    x = 2,734.43

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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.