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Finding the Fourth Proportional to 9,137.84, 13,641.85 and 8,813.84

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Solution

The fourth proportional to 9,137.84, 13,641.85 and 8,813.84 is: 13,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.84 : 13,641.85 = 8,813.84 : x
  2. Step 2: Convert to fraction form
    9,137.84/13,641.85 = 8,813.84/x
  3. Step 3: Cross multiply
    9,137.84x = 13,641.85 × 8,813.84
  4. Step 4: Simplify right side
    9,137.84x = 120,237,083.20
  5. Step 5: Solve for x
    x = 120,237,083.20/9,137.84
  6. Step 6: Final answer
    x = 13,158.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.