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Finding the Fourth Proportional to 9,734.70, 14,580.45 and 8,006.70

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Solution

The fourth proportional to 9,734.70, 14,580.45 and 8,006.70 is: 11,992.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.70 : 14,580.45 = 8,006.70 : x
  2. Step 2: Convert to fraction form
    9,734.70/14,580.45 = 8,006.70/x
  3. Step 3: Cross multiply
    9,734.70x = 14,580.45 × 8,006.70
  4. Step 4: Simplify right side
    9,734.70x = 116,741,289.02
  5. Step 5: Solve for x
    x = 116,741,289.02/9,734.70
  6. Step 6: Final answer
    x = 11,992.28

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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.