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Finding the Fourth Proportional to 9,580.50, 14,370.75 and 2,655

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Solution

The fourth proportional to 9,580.50, 14,370.75 and 2,655 is: 3,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.50 : 14,370.75 = 2,655 : x
  2. Step 2: Convert to fraction form
    9,580.50/14,370.75 = 2,655/x
  3. Step 3: Cross multiply
    9,580.50x = 14,370.75 × 2,655
  4. Step 4: Simplify right side
    9,580.50x = 38,154,341.25
  5. Step 5: Solve for x
    x = 38,154,341.25/9,580.50
  6. Step 6: Final answer
    x = 3,982.50

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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.