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Finding the Fourth Proportional to 4,948.99, 7,424.34 and 1,662.40

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Solution

The fourth proportional to 4,948.99, 7,424.34 and 1,662.40 is: 2,493.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.99 : 7,424.34 = 1,662.40 : x
  2. Step 2: Convert to fraction form
    4,948.99/7,424.34 = 1,662.40/x
  3. Step 3: Cross multiply
    4,948.99x = 7,424.34 × 1,662.40
  4. Step 4: Simplify right side
    4,948.99x = 12,342,222.82
  5. Step 5: Solve for x
    x = 12,342,222.82/4,948.99
  6. Step 6: Final answer
    x = 2,493.89

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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.