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Finding the Fourth Proportional to 6,547.86, 9,812.04 and 2,848.06

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Solution

The fourth proportional to 6,547.86, 9,812.04 and 2,848.06 is: 4,267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.86 : 9,812.04 = 2,848.06 : x
  2. Step 2: Convert to fraction form
    6,547.86/9,812.04 = 2,848.06/x
  3. Step 3: Cross multiply
    6,547.86x = 9,812.04 × 2,848.06
  4. Step 4: Simplify right side
    6,547.86x = 27,945,280.23
  5. Step 5: Solve for x
    x = 27,945,280.23/6,547.86
  6. Step 6: Final answer
    x = 4,267.85

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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.