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Finding the Fourth Proportional to 6,710.03, 10,062.23 and 2,547.74

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Solution

The fourth proportional to 6,710.03, 10,062.23 and 2,547.74 is: 3,820.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.03 : 10,062.23 = 2,547.74 : x
  2. Step 2: Convert to fraction form
    6,710.03/10,062.23 = 2,547.74/x
  3. Step 3: Cross multiply
    6,710.03x = 10,062.23 × 2,547.74
  4. Step 4: Simplify right side
    6,710.03x = 25,635,945.86
  5. Step 5: Solve for x
    x = 25,635,945.86/6,710.03
  6. Step 6: Final answer
    x = 3,820.54

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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.