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Finding the Fourth Proportional to 6,597.84, 9,890.24 and 3,137.52

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Solution

The fourth proportional to 6,597.84, 9,890.24 and 3,137.52 is: 4,703.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.84 : 9,890.24 = 3,137.52 : x
  2. Step 2: Convert to fraction form
    6,597.84/9,890.24 = 3,137.52/x
  3. Step 3: Cross multiply
    6,597.84x = 9,890.24 × 3,137.52
  4. Step 4: Simplify right side
    6,597.84x = 31,030,825.80
  5. Step 5: Solve for x
    x = 31,030,825.80/6,597.84
  6. Step 6: Final answer
    x = 4,703.18

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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.