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Finding the Fourth Proportional to 4,971.44, 7,457.52 and 1,684.88

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Solution

The fourth proportional to 4,971.44, 7,457.52 and 1,684.88 is: 2,527.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.44 : 7,457.52 = 1,684.88 : x
  2. Step 2: Convert to fraction form
    4,971.44/7,457.52 = 1,684.88/x
  3. Step 3: Cross multiply
    4,971.44x = 7,457.52 × 1,684.88
  4. Step 4: Simplify right side
    4,971.44x = 12,565,026.30
  5. Step 5: Solve for x
    x = 12,565,026.30/4,971.44
  6. Step 6: Final answer
    x = 2,527.44

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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.