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Finding the Fourth Proportional to 9,735.68, 14,605.80 and 5,350.88

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Solution

The fourth proportional to 9,735.68, 14,605.80 and 5,350.88 is: 8,027.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.68 : 14,605.80 = 5,350.88 : x
  2. Step 2: Convert to fraction form
    9,735.68/14,605.80 = 5,350.88/x
  3. Step 3: Cross multiply
    9,735.68x = 14,605.80 × 5,350.88
  4. Step 4: Simplify right side
    9,735.68x = 78,153,883.10
  5. Step 5: Solve for x
    x = 78,153,883.10/9,735.68
  6. Step 6: Final answer
    x = 8,027.57

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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.