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Finding the Fourth Proportional to 4,494.25, 6,742.46 and 1,416.25

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Solution

The fourth proportional to 4,494.25, 6,742.46 and 1,416.25 is: 2,124.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.25 : 6,742.46 = 1,416.25 : x
  2. Step 2: Convert to fraction form
    4,494.25/6,742.46 = 1,416.25/x
  3. Step 3: Cross multiply
    4,494.25x = 6,742.46 × 1,416.25
  4. Step 4: Simplify right side
    4,494.25x = 9,549,001.89
  5. Step 5: Solve for x
    x = 9,549,001.89/4,494.25
  6. Step 6: Final answer
    x = 2,124.72

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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.