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Finding the Fourth Proportional to 6,544.08, 9,818.72 and 2,384.37

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Solution

The fourth proportional to 6,544.08, 9,818.72 and 2,384.37 is: 3,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.08 : 9,818.72 = 2,384.37 : x
  2. Step 2: Convert to fraction form
    6,544.08/9,818.72 = 2,384.37/x
  3. Step 3: Cross multiply
    6,544.08x = 9,818.72 × 2,384.37
  4. Step 4: Simplify right side
    6,544.08x = 23,411,461.41
  5. Step 5: Solve for x
    x = 23,411,461.41/6,544.08
  6. Step 6: Final answer
    x = 3,577.50

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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.