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Finding the Fourth Proportional to 10,773, 14,868.36 and 6,583.68

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Solution

The fourth proportional to 10,773, 14,868.36 and 6,583.68 is: 9,086.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773 : 14,868.36 = 6,583.68 : x
  2. Step 2: Convert to fraction form
    10,773/14,868.36 = 6,583.68/x
  3. Step 3: Cross multiply
    10,773x = 14,868.36 × 6,583.68
  4. Step 4: Simplify right side
    10,773x = 97,888,524.36
  5. Step 5: Solve for x
    x = 97,888,524.36/10,773
  6. Step 6: Final answer
    x = 9,086.47

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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.