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Finding the Fourth Proportional to 5,830.71, 8,745.95 and 1,448.12

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Solution

The fourth proportional to 5,830.71, 8,745.95 and 1,448.12 is: 2,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.71 : 8,745.95 = 1,448.12 : x
  2. Step 2: Convert to fraction form
    5,830.71/8,745.95 = 1,448.12/x
  3. Step 3: Cross multiply
    5,830.71x = 8,745.95 × 1,448.12
  4. Step 4: Simplify right side
    5,830.71x = 12,665,134.14
  5. Step 5: Solve for x
    x = 12,665,134.14/5,830.71
  6. Step 6: Final answer
    x = 2,172.14

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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.