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Finding the Fourth Proportional to 7,074.64, 9,762.60 and 3,930.63

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Solution

The fourth proportional to 7,074.64, 9,762.60 and 3,930.63 is: 5,424.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.64 : 9,762.60 = 3,930.63 : x
  2. Step 2: Convert to fraction form
    7,074.64/9,762.60 = 3,930.63/x
  3. Step 3: Cross multiply
    7,074.64x = 9,762.60 × 3,930.63
  4. Step 4: Simplify right side
    7,074.64x = 38,373,168.44
  5. Step 5: Solve for x
    x = 38,373,168.44/7,074.64
  6. Step 6: Final answer
    x = 5,424.05

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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.