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Finding the Fourth Proportional to 10,573.50, 14,584.68 and 6,795.39

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Solution

The fourth proportional to 10,573.50, 14,584.68 and 6,795.39 is: 9,373.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.50 : 14,584.68 = 6,795.39 : x
  2. Step 2: Convert to fraction form
    10,573.50/14,584.68 = 6,795.39/x
  3. Step 3: Cross multiply
    10,573.50x = 14,584.68 × 6,795.39
  4. Step 4: Simplify right side
    10,573.50x = 99,108,588.63
  5. Step 5: Solve for x
    x = 99,108,588.63/10,573.50
  6. Step 6: Final answer
    x = 9,373.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.