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Finding the Fourth Proportional to 6,579.42, 9,864.54 and 3,065.64

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Solution

The fourth proportional to 6,579.42, 9,864.54 and 3,065.64 is: 4,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579.42 : 9,864.54 = 3,065.64 : x
  2. Step 2: Convert to fraction form
    6,579.42/9,864.54 = 3,065.64/x
  3. Step 3: Cross multiply
    6,579.42x = 9,864.54 × 3,065.64
  4. Step 4: Simplify right side
    6,579.42x = 30,241,128.41
  5. Step 5: Solve for x
    x = 30,241,128.41/6,579.42
  6. Step 6: Final answer
    x = 4,596.32

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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.