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Finding the Fourth Proportional to 4,630.32, 6,944.13 and 1,856.07

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Solution

The fourth proportional to 4,630.32, 6,944.13 and 1,856.07 is: 2,783.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.32 : 6,944.13 = 1,856.07 : x
  2. Step 2: Convert to fraction form
    4,630.32/6,944.13 = 1,856.07/x
  3. Step 3: Cross multiply
    4,630.32x = 6,944.13 × 1,856.07
  4. Step 4: Simplify right side
    4,630.32x = 12,888,791.37
  5. Step 5: Solve for x
    x = 12,888,791.37/4,630.32
  6. Step 6: Final answer
    x = 2,783.56

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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.