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Finding the Fourth Proportional to 7,841.81, 10,822.21 and 4,485.78

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Solution

The fourth proportional to 7,841.81, 10,822.21 and 4,485.78 is: 6,190.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.81 : 10,822.21 = 4,485.78 : x
  2. Step 2: Convert to fraction form
    7,841.81/10,822.21 = 4,485.78/x
  3. Step 3: Cross multiply
    7,841.81x = 10,822.21 × 4,485.78
  4. Step 4: Simplify right side
    7,841.81x = 48,546,041.96
  5. Step 5: Solve for x
    x = 48,546,041.96/7,841.81
  6. Step 6: Final answer
    x = 6,190.67

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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.