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Finding the Fourth Proportional to 9,425.80, 13,007.64 and 5,891.05

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Solution

The fourth proportional to 9,425.80, 13,007.64 and 5,891.05 is: 8,129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.80 : 13,007.64 = 5,891.05 : x
  2. Step 2: Convert to fraction form
    9,425.80/13,007.64 = 5,891.05/x
  3. Step 3: Cross multiply
    9,425.80x = 13,007.64 × 5,891.05
  4. Step 4: Simplify right side
    9,425.80x = 76,628,657.62
  5. Step 5: Solve for x
    x = 76,628,657.62/9,425.80
  6. Step 6: Final answer
    x = 8,129.67

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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.