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Finding the Fourth Proportional to 6,574.59, 9,857.03 and 2,412.41

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Solution

The fourth proportional to 6,574.59, 9,857.03 and 2,412.41 is: 3,616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.59 : 9,857.03 = 2,412.41 : x
  2. Step 2: Convert to fraction form
    6,574.59/9,857.03 = 2,412.41/x
  3. Step 3: Cross multiply
    6,574.59x = 9,857.03 × 2,412.41
  4. Step 4: Simplify right side
    6,574.59x = 23,779,136.40
  5. Step 5: Solve for x
    x = 23,779,136.40/6,574.59
  6. Step 6: Final answer
    x = 3,616.82

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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.