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Finding the Fourth Proportional to 9,688.70, 14,504.70 and 7,234.40

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Solution

The fourth proportional to 9,688.70, 14,504.70 and 7,234.40 is: 10,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.70 : 14,504.70 = 7,234.40 : x
  2. Step 2: Convert to fraction form
    9,688.70/14,504.70 = 7,234.40/x
  3. Step 3: Cross multiply
    9,688.70x = 14,504.70 × 7,234.40
  4. Step 4: Simplify right side
    9,688.70x = 104,932,801.68
  5. Step 5: Solve for x
    x = 104,932,801.68/9,688.70
  6. Step 6: Final answer
    x = 10,830.43

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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.