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Finding the Fourth Proportional to 6,548, 9,822.27 and 1,931

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Solution

The fourth proportional to 6,548, 9,822.27 and 1,931 is: 2,896.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548 : 9,822.27 = 1,931 : x
  2. Step 2: Convert to fraction form
    6,548/9,822.27 = 1,931/x
  3. Step 3: Cross multiply
    6,548x = 9,822.27 × 1,931
  4. Step 4: Simplify right side
    6,548x = 18,966,803.37
  5. Step 5: Solve for x
    x = 18,966,803.37/6,548
  6. Step 6: Final answer
    x = 2,896.58

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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.