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Finding the Fourth Proportional to 9,845.76, 14,738.40 and 7,068

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Solution

The fourth proportional to 9,845.76, 14,738.40 and 7,068 is: 10,580.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845.76 : 14,738.40 = 7,068 : x
  2. Step 2: Convert to fraction form
    9,845.76/14,738.40 = 7,068/x
  3. Step 3: Cross multiply
    9,845.76x = 14,738.40 × 7,068
  4. Step 4: Simplify right side
    9,845.76x = 104,171,011.20
  5. Step 5: Solve for x
    x = 104,171,011.20/9,845.76
  6. Step 6: Final answer
    x = 10,580.29

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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.