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Finding the Fourth Proportional to 9,350.10, 13,970.38 and 9,023.07

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Solution

The fourth proportional to 9,350.10, 13,970.38 and 9,023.07 is: 13,481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,350.10 : 13,970.38 = 9,023.07 : x
  2. Step 2: Convert to fraction form
    9,350.10/13,970.38 = 9,023.07/x
  3. Step 3: Cross multiply
    9,350.10x = 13,970.38 × 9,023.07
  4. Step 4: Simplify right side
    9,350.10x = 126,055,716.67
  5. Step 5: Solve for x
    x = 126,055,716.67/9,350.10
  6. Step 6: Final answer
    x = 13,481.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.