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Finding the Fourth Proportional to 12,656.40, 18,968.40 and 6,068.40

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Solution

The fourth proportional to 12,656.40, 18,968.40 and 6,068.40 is: 9,094.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.40 : 18,968.40 = 6,068.40 : x
  2. Step 2: Convert to fraction form
    12,656.40/18,968.40 = 6,068.40/x
  3. Step 3: Cross multiply
    12,656.40x = 18,968.40 × 6,068.40
  4. Step 4: Simplify right side
    12,656.40x = 115,107,838.56
  5. Step 5: Solve for x
    x = 115,107,838.56/12,656.40
  6. Step 6: Final answer
    x = 9,094.83

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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.