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Finding the Fourth Proportional to 9,728.90, 13,425.46 and 5,958.45

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Solution

The fourth proportional to 9,728.90, 13,425.46 and 5,958.45 is: 8,222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.90 : 13,425.46 = 5,958.45 : x
  2. Step 2: Convert to fraction form
    9,728.90/13,425.46 = 5,958.45/x
  3. Step 3: Cross multiply
    9,728.90x = 13,425.46 × 5,958.45
  4. Step 4: Simplify right side
    9,728.90x = 79,994,932.14
  5. Step 5: Solve for x
    x = 79,994,932.14/9,728.90
  6. Step 6: Final answer
    x = 8,222.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.