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Finding the Fourth Proportional to 6,444.80, 9,664.80 and 4,491.20

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Solution

The fourth proportional to 6,444.80, 9,664.80 and 4,491.20 is: 6,735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.80 : 9,664.80 = 4,491.20 : x
  2. Step 2: Convert to fraction form
    6,444.80/9,664.80 = 4,491.20/x
  3. Step 3: Cross multiply
    6,444.80x = 9,664.80 × 4,491.20
  4. Step 4: Simplify right side
    6,444.80x = 43,406,549.76
  5. Step 5: Solve for x
    x = 43,406,549.76/6,444.80
  6. Step 6: Final answer
    x = 6,735.13

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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.