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Finding the Fourth Proportional to 7,804.42, 10,770.10 and 4,267.62

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Solution

The fourth proportional to 7,804.42, 10,770.10 and 4,267.62 is: 5,889.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.42 : 10,770.10 = 4,267.62 : x
  2. Step 2: Convert to fraction form
    7,804.42/10,770.10 = 4,267.62/x
  3. Step 3: Cross multiply
    7,804.42x = 10,770.10 × 4,267.62
  4. Step 4: Simplify right side
    7,804.42x = 45,962,683.49
  5. Step 5: Solve for x
    x = 45,962,683.49/7,804.42
  6. Step 6: Final answer
    x = 5,889.32

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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.