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Finding the Fourth Proportional to 7,648.50, 11,470.55 and 2,102.03

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Solution

The fourth proportional to 7,648.50, 11,470.55 and 2,102.03 is: 3,152.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.50 : 11,470.55 = 2,102.03 : x
  2. Step 2: Convert to fraction form
    7,648.50/11,470.55 = 2,102.03/x
  3. Step 3: Cross multiply
    7,648.50x = 11,470.55 × 2,102.03
  4. Step 4: Simplify right side
    7,648.50x = 24,111,427.19
  5. Step 5: Solve for x
    x = 24,111,427.19/7,648.50
  6. Step 6: Final answer
    x = 3,152.44

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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.