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Finding the Fourth Proportional to 4,953.50, 6,835.83 and 2,964.14

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Solution

The fourth proportional to 4,953.50, 6,835.83 and 2,964.14 is: 4,090.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.50 : 6,835.83 = 2,964.14 : x
  2. Step 2: Convert to fraction form
    4,953.50/6,835.83 = 2,964.14/x
  3. Step 3: Cross multiply
    4,953.50x = 6,835.83 × 2,964.14
  4. Step 4: Simplify right side
    4,953.50x = 20,262,357.14
  5. Step 5: Solve for x
    x = 20,262,357.14/4,953.50
  6. Step 6: Final answer
    x = 4,090.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.