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Finding the Fourth Proportional to 4,967.74, 7,451.38 and 1,457.60

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Solution

The fourth proportional to 4,967.74, 7,451.38 and 1,457.60 is: 2,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.74 : 7,451.38 = 1,457.60 : x
  2. Step 2: Convert to fraction form
    4,967.74/7,451.38 = 1,457.60/x
  3. Step 3: Cross multiply
    4,967.74x = 7,451.38 × 1,457.60
  4. Step 4: Simplify right side
    4,967.74x = 10,861,124.20
  5. Step 5: Solve for x
    x = 10,861,124.20/4,967.74
  6. Step 6: Final answer
    x = 2,186.33

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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.