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Finding the Fourth Proportional to 10,557.63, 15,804.89 and 6,385.02

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Solution

The fourth proportional to 10,557.63, 15,804.89 and 6,385.02 is: 9,558.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.63 : 15,804.89 = 6,385.02 : x
  2. Step 2: Convert to fraction form
    10,557.63/15,804.89 = 6,385.02/x
  3. Step 3: Cross multiply
    10,557.63x = 15,804.89 × 6,385.02
  4. Step 4: Simplify right side
    10,557.63x = 100,914,471.50
  5. Step 5: Solve for x
    x = 100,914,471.50/10,557.63
  6. Step 6: Final answer
    x = 9,558.44

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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.