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Finding the Fourth Proportional to 4,973.44, 7,460.60 and 1,415.56

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Solution

The fourth proportional to 4,973.44, 7,460.60 and 1,415.56 is: 2,123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.44 : 7,460.60 = 1,415.56 : x
  2. Step 2: Convert to fraction form
    4,973.44/7,460.60 = 1,415.56/x
  3. Step 3: Cross multiply
    4,973.44x = 7,460.60 × 1,415.56
  4. Step 4: Simplify right side
    4,973.44x = 10,560,926.94
  5. Step 5: Solve for x
    x = 10,560,926.94/4,973.44
  6. Step 6: Final answer
    x = 2,123.47

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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.