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Finding the Fourth Proportional to 6,547.83, 9,822.08 and 1,868.53

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Solution

The fourth proportional to 6,547.83, 9,822.08 and 1,868.53 is: 2,802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.83 : 9,822.08 = 1,868.53 : x
  2. Step 2: Convert to fraction form
    6,547.83/9,822.08 = 1,868.53/x
  3. Step 3: Cross multiply
    6,547.83x = 9,822.08 × 1,868.53
  4. Step 4: Simplify right side
    6,547.83x = 18,352,879.73
  5. Step 5: Solve for x
    x = 18,352,879.73/6,547.83
  6. Step 6: Final answer
    x = 2,802.89

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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.