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Finding the Fourth Proportional to 6,547.41, 9,822.66 and 2,164.87

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Solution

The fourth proportional to 6,547.41, 9,822.66 and 2,164.87 is: 3,247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.41 : 9,822.66 = 2,164.87 : x
  2. Step 2: Convert to fraction form
    6,547.41/9,822.66 = 2,164.87/x
  3. Step 3: Cross multiply
    6,547.41x = 9,822.66 × 2,164.87
  4. Step 4: Simplify right side
    6,547.41x = 21,264,771.13
  5. Step 5: Solve for x
    x = 21,264,771.13/6,547.41
  6. Step 6: Final answer
    x = 3,247.81

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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.