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Finding the Fourth Proportional to 12,242.37, 16,893.51 and 6,938.01

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Solution

The fourth proportional to 12,242.37, 16,893.51 and 6,938.01 is: 9,573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.37 : 16,893.51 = 6,938.01 : x
  2. Step 2: Convert to fraction form
    12,242.37/16,893.51 = 6,938.01/x
  3. Step 3: Cross multiply
    12,242.37x = 16,893.51 × 6,938.01
  4. Step 4: Simplify right side
    12,242.37x = 117,207,341.32
  5. Step 5: Solve for x
    x = 117,207,341.32/12,242.37
  6. Step 6: Final answer
    x = 9,573.91

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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.