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Finding the Fourth Proportional to 6,992.79, 10,485.86 and 2,547.30

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Solution

The fourth proportional to 6,992.79, 10,485.86 and 2,547.30 is: 3,819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.79 : 10,485.86 = 2,547.30 : x
  2. Step 2: Convert to fraction form
    6,992.79/10,485.86 = 2,547.30/x
  3. Step 3: Cross multiply
    6,992.79x = 10,485.86 × 2,547.30
  4. Step 4: Simplify right side
    6,992.79x = 26,710,631.18
  5. Step 5: Solve for x
    x = 26,710,631.18/6,992.79
  6. Step 6: Final answer
    x = 3,819.74

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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.