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Finding the Fourth Proportional to 7,047.46, 10,558.14 and 3,533.37

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Solution

The fourth proportional to 7,047.46, 10,558.14 and 3,533.37 is: 5,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.46 : 10,558.14 = 3,533.37 : x
  2. Step 2: Convert to fraction form
    7,047.46/10,558.14 = 3,533.37/x
  3. Step 3: Cross multiply
    7,047.46x = 10,558.14 × 3,533.37
  4. Step 4: Simplify right side
    7,047.46x = 37,305,762.34
  5. Step 5: Solve for x
    x = 37,305,762.34/7,047.46
  6. Step 6: Final answer
    x = 5,293.50

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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.