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Finding the Fourth Proportional to 12,348.94, 17,041.40 and 6,683.56

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Solution

The fourth proportional to 12,348.94, 17,041.40 and 6,683.56 is: 9,223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348.94 : 17,041.40 = 6,683.56 : x
  2. Step 2: Convert to fraction form
    12,348.94/17,041.40 = 6,683.56/x
  3. Step 3: Cross multiply
    12,348.94x = 17,041.40 × 6,683.56
  4. Step 4: Simplify right side
    12,348.94x = 113,897,219.38
  5. Step 5: Solve for x
    x = 113,897,219.38/12,348.94
  6. Step 6: Final answer
    x = 9,223.24

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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.