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Finding the Fourth Proportional to 7,047.10, 9,724.74 and 4,063.06

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Solution

The fourth proportional to 7,047.10, 9,724.74 and 4,063.06 is: 5,606.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.10 : 9,724.74 = 4,063.06 : x
  2. Step 2: Convert to fraction form
    7,047.10/9,724.74 = 4,063.06/x
  3. Step 3: Cross multiply
    7,047.10x = 9,724.74 × 4,063.06
  4. Step 4: Simplify right side
    7,047.10x = 39,512,202.10
  5. Step 5: Solve for x
    x = 39,512,202.10/7,047.10
  6. Step 6: Final answer
    x = 5,606.87

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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.