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Finding the Fourth Proportional to 6,547.16, 9,822.04 and 2,164.59

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Solution

The fourth proportional to 6,547.16, 9,822.04 and 2,164.59 is: 3,247.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.16 : 9,822.04 = 2,164.59 : x
  2. Step 2: Convert to fraction form
    6,547.16/9,822.04 = 2,164.59/x
  3. Step 3: Cross multiply
    6,547.16x = 9,822.04 × 2,164.59
  4. Step 4: Simplify right side
    6,547.16x = 21,260,684.15
  5. Step 5: Solve for x
    x = 21,260,684.15/6,547.16
  6. Step 6: Final answer
    x = 3,247.31

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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.