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Finding the Fourth Proportional to 6,364.54, 9,547.69 and 2,665.91

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Solution

The fourth proportional to 6,364.54, 9,547.69 and 2,665.91 is: 3,999.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.54 : 9,547.69 = 2,665.91 : x
  2. Step 2: Convert to fraction form
    6,364.54/9,547.69 = 2,665.91/x
  3. Step 3: Cross multiply
    6,364.54x = 9,547.69 × 2,665.91
  4. Step 4: Simplify right side
    6,364.54x = 25,453,282.25
  5. Step 5: Solve for x
    x = 25,453,282.25/6,364.54
  6. Step 6: Final answer
    x = 3,999.23

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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.