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Finding the Fourth Proportional to 8,984.94, 13,477.47 and 3,141.57

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Solution

The fourth proportional to 8,984.94, 13,477.47 and 3,141.57 is: 4,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.94 : 13,477.47 = 3,141.57 : x
  2. Step 2: Convert to fraction form
    8,984.94/13,477.47 = 3,141.57/x
  3. Step 3: Cross multiply
    8,984.94x = 13,477.47 × 3,141.57
  4. Step 4: Simplify right side
    8,984.94x = 42,340,415.43
  5. Step 5: Solve for x
    x = 42,340,415.43/8,984.94
  6. Step 6: Final answer
    x = 4,712.38

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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.