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Finding the Fourth Proportional to 6,154.95, 9,233.29 and 1,993.98

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Solution

The fourth proportional to 6,154.95, 9,233.29 and 1,993.98 is: 2,991.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.95 : 9,233.29 = 1,993.98 : x
  2. Step 2: Convert to fraction form
    6,154.95/9,233.29 = 1,993.98/x
  3. Step 3: Cross multiply
    6,154.95x = 9,233.29 × 1,993.98
  4. Step 4: Simplify right side
    6,154.95x = 18,411,032.71
  5. Step 5: Solve for x
    x = 18,411,032.71/6,154.95
  6. Step 6: Final answer
    x = 2,991.25

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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.