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Finding the Fourth Proportional to 4,646.46, 6,970.64 and 4,181.73

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Solution

The fourth proportional to 4,646.46, 6,970.64 and 4,181.73 is: 6,273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.46 : 6,970.64 = 4,181.73 : x
  2. Step 2: Convert to fraction form
    4,646.46/6,970.64 = 4,181.73/x
  3. Step 3: Cross multiply
    4,646.46x = 6,970.64 × 4,181.73
  4. Step 4: Simplify right side
    4,646.46x = 29,149,313.50
  5. Step 5: Solve for x
    x = 29,149,313.50/4,646.46
  6. Step 6: Final answer
    x = 6,273.45

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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.