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Finding the Fourth Proportional to 12,993.42, 19,493 and 6,064.14

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Solution

The fourth proportional to 12,993.42, 19,493 and 6,064.14 is: 9,097.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993.42 : 19,493 = 6,064.14 : x
  2. Step 2: Convert to fraction form
    12,993.42/19,493 = 6,064.14/x
  3. Step 3: Cross multiply
    12,993.42x = 19,493 × 6,064.14
  4. Step 4: Simplify right side
    12,993.42x = 118,208,281.02
  5. Step 5: Solve for x
    x = 118,208,281.02/12,993.42
  6. Step 6: Final answer
    x = 9,097.55

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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.