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Finding the Fourth Proportional to 9,687.70, 14,503.20 and 7,233.40

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Solution

The fourth proportional to 9,687.70, 14,503.20 and 7,233.40 is: 10,828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.70 : 14,503.20 = 7,233.40 : x
  2. Step 2: Convert to fraction form
    9,687.70/14,503.20 = 7,233.40/x
  3. Step 3: Cross multiply
    9,687.70x = 14,503.20 × 7,233.40
  4. Step 4: Simplify right side
    9,687.70x = 104,907,446.88
  5. Step 5: Solve for x
    x = 104,907,446.88/9,687.70
  6. Step 6: Final answer
    x = 10,828.93

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1.5x scale

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.