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Finding the Fourth Proportional to 4,326.04, 6,489.60 and 2,017

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Solution

The fourth proportional to 4,326.04, 6,489.60 and 2,017 is: 3,025.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326.04 : 6,489.60 = 2,017 : x
  2. Step 2: Convert to fraction form
    4,326.04/6,489.60 = 2,017/x
  3. Step 3: Cross multiply
    4,326.04x = 6,489.60 × 2,017
  4. Step 4: Simplify right side
    4,326.04x = 13,089,523.20
  5. Step 5: Solve for x
    x = 13,089,523.20/4,326.04
  6. Step 6: Final answer
    x = 3,025.75

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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.