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Finding the Fourth Proportional to 4,643.58, 6,965.56 and 1,180.92

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Solution

The fourth proportional to 4,643.58, 6,965.56 and 1,180.92 is: 1,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.58 : 6,965.56 = 1,180.92 : x
  2. Step 2: Convert to fraction form
    4,643.58/6,965.56 = 1,180.92/x
  3. Step 3: Cross multiply
    4,643.58x = 6,965.56 × 1,180.92
  4. Step 4: Simplify right side
    4,643.58x = 8,225,769.12
  5. Step 5: Solve for x
    x = 8,225,769.12/4,643.58
  6. Step 6: Final answer
    x = 1,771.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.