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Finding the Fourth Proportional to 4,974.12, 7,461.18 and 1,276.35

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Solution

The fourth proportional to 4,974.12, 7,461.18 and 1,276.35 is: 1,914.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.12 : 7,461.18 = 1,276.35 : x
  2. Step 2: Convert to fraction form
    4,974.12/7,461.18 = 1,276.35/x
  3. Step 3: Cross multiply
    4,974.12x = 7,461.18 × 1,276.35
  4. Step 4: Simplify right side
    4,974.12x = 9,523,077.09
  5. Step 5: Solve for x
    x = 9,523,077.09/4,974.12
  6. Step 6: Final answer
    x = 1,914.53

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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.