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Finding the Fourth Proportional to 7,246.35, 10,174.05 and 7,246.35

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Solution

The fourth proportional to 7,246.35, 10,174.05 and 7,246.35 is: 10,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.35 : 10,174.05 = 7,246.35 : x
  2. Step 2: Convert to fraction form
    7,246.35/10,174.05 = 7,246.35/x
  3. Step 3: Cross multiply
    7,246.35x = 10,174.05 × 7,246.35
  4. Step 4: Simplify right side
    7,246.35x = 73,724,727.22
  5. Step 5: Solve for x
    x = 73,724,727.22/7,246.35
  6. Step 6: Final answer
    x = 10,174.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.