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Finding the Fourth Proportional to 6,547.24, 9,820.92 and 1,616.86

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Solution

The fourth proportional to 6,547.24, 9,820.92 and 1,616.86 is: 2,425.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.24 : 9,820.92 = 1,616.86 : x
  2. Step 2: Convert to fraction form
    6,547.24/9,820.92 = 1,616.86/x
  3. Step 3: Cross multiply
    6,547.24x = 9,820.92 × 1,616.86
  4. Step 4: Simplify right side
    6,547.24x = 15,879,052.71
  5. Step 5: Solve for x
    x = 15,879,052.71/6,547.24
  6. Step 6: Final answer
    x = 2,425.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.