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Finding the Fourth Proportional to 9,850.50, 14,780.07 and 5,746.50

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Solution

The fourth proportional to 9,850.50, 14,780.07 and 5,746.50 is: 8,622.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.50 : 14,780.07 = 5,746.50 : x
  2. Step 2: Convert to fraction form
    9,850.50/14,780.07 = 5,746.50/x
  3. Step 3: Cross multiply
    9,850.50x = 14,780.07 × 5,746.50
  4. Step 4: Simplify right side
    9,850.50x = 84,933,672.26
  5. Step 5: Solve for x
    x = 84,933,672.26/9,850.50
  6. Step 6: Final answer
    x = 8,622.27

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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.