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Finding the Fourth Proportional to 6,547.56, 9,815.06 and 4,201

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Solution

The fourth proportional to 6,547.56, 9,815.06 and 4,201 is: 6,297.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.56 : 9,815.06 = 4,201 : x
  2. Step 2: Convert to fraction form
    6,547.56/9,815.06 = 4,201/x
  3. Step 3: Cross multiply
    6,547.56x = 9,815.06 × 4,201
  4. Step 4: Simplify right side
    6,547.56x = 41,233,067.06
  5. Step 5: Solve for x
    x = 41,233,067.06/6,547.56
  6. Step 6: Final answer
    x = 6,297.47

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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.