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Finding the Fourth Proportional to 6,503.08, 9,754.06 and 1,822.72

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Solution

The fourth proportional to 6,503.08, 9,754.06 and 1,822.72 is: 2,733.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.08 : 9,754.06 = 1,822.72 : x
  2. Step 2: Convert to fraction form
    6,503.08/9,754.06 = 1,822.72/x
  3. Step 3: Cross multiply
    6,503.08x = 9,754.06 × 1,822.72
  4. Step 4: Simplify right side
    6,503.08x = 17,778,920.24
  5. Step 5: Solve for x
    x = 17,778,920.24/6,503.08
  6. Step 6: Final answer
    x = 2,733.92

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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.