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Finding the Fourth Proportional to 4,661.64, 6,431.04 and 2,671.74

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Solution

The fourth proportional to 4,661.64, 6,431.04 and 2,671.74 is: 3,685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.64 : 6,431.04 = 2,671.74 : x
  2. Step 2: Convert to fraction form
    4,661.64/6,431.04 = 2,671.74/x
  3. Step 3: Cross multiply
    4,661.64x = 6,431.04 × 2,671.74
  4. Step 4: Simplify right side
    4,661.64x = 17,182,066.81
  5. Step 5: Solve for x
    x = 17,182,066.81/4,661.64
  6. Step 6: Final answer
    x = 3,685.84

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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.