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Finding the Fourth Proportional to 6,547, 9,034.86 and 3,754.36

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Solution

The fourth proportional to 6,547, 9,034.86 and 3,754.36 is: 5,181.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547 : 9,034.86 = 3,754.36 : x
  2. Step 2: Convert to fraction form
    6,547/9,034.86 = 3,754.36/x
  3. Step 3: Cross multiply
    6,547x = 9,034.86 × 3,754.36
  4. Step 4: Simplify right side
    6,547x = 33,920,116.99
  5. Step 5: Solve for x
    x = 33,920,116.99/6,547
  6. Step 6: Final answer
    x = 5,181.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.