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Finding the Fourth Proportional to 10,577.84, 15,848.86 and 6,405.22

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Solution

The fourth proportional to 10,577.84, 15,848.86 and 6,405.22 is: 9,596.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.84 : 15,848.86 = 6,405.22 : x
  2. Step 2: Convert to fraction form
    10,577.84/15,848.86 = 6,405.22/x
  3. Step 3: Cross multiply
    10,577.84x = 15,848.86 × 6,405.22
  4. Step 4: Simplify right side
    10,577.84x = 101,515,435.05
  5. Step 5: Solve for x
    x = 101,515,435.05/10,577.84
  6. Step 6: Final answer
    x = 9,596.99

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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.