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Finding the Fourth Proportional to 6,554.04, 9,780.36 and 5,853.18

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Solution

The fourth proportional to 6,554.04, 9,780.36 and 5,853.18 is: 8,734.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.04 : 9,780.36 = 5,853.18 : x
  2. Step 2: Convert to fraction form
    6,554.04/9,780.36 = 5,853.18/x
  3. Step 3: Cross multiply
    6,554.04x = 9,780.36 × 5,853.18
  4. Step 4: Simplify right side
    6,554.04x = 57,246,207.54
  5. Step 5: Solve for x
    x = 57,246,207.54/6,554.04
  6. Step 6: Final answer
    x = 8,734.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.