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Finding the Fourth Proportional to 4,407.94, 6,612.18 and 1,446.58

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Solution

The fourth proportional to 4,407.94, 6,612.18 and 1,446.58 is: 2,169.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407.94 : 6,612.18 = 1,446.58 : x
  2. Step 2: Convert to fraction form
    4,407.94/6,612.18 = 1,446.58/x
  3. Step 3: Cross multiply
    4,407.94x = 6,612.18 × 1,446.58
  4. Step 4: Simplify right side
    4,407.94x = 9,565,047.34
  5. Step 5: Solve for x
    x = 9,565,047.34/4,407.94
  6. Step 6: Final answer
    x = 2,169.96

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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.