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Finding the Fourth Proportional to 10,370.50, 15,555.75 and 3,445

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Solution

The fourth proportional to 10,370.50, 15,555.75 and 3,445 is: 5,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370.50 : 15,555.75 = 3,445 : x
  2. Step 2: Convert to fraction form
    10,370.50/15,555.75 = 3,445/x
  3. Step 3: Cross multiply
    10,370.50x = 15,555.75 × 3,445
  4. Step 4: Simplify right side
    10,370.50x = 53,589,558.75
  5. Step 5: Solve for x
    x = 53,589,558.75/10,370.50
  6. Step 6: Final answer
    x = 5,167.50

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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.