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Finding the Fourth Proportional to 9,874.70, 13,627.29 and 5,895.06

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Solution

The fourth proportional to 9,874.70, 13,627.29 and 5,895.06 is: 8,135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.70 : 13,627.29 = 5,895.06 : x
  2. Step 2: Convert to fraction form
    9,874.70/13,627.29 = 5,895.06/x
  3. Step 3: Cross multiply
    9,874.70x = 13,627.29 × 5,895.06
  4. Step 4: Simplify right side
    9,874.70x = 80,333,765.40
  5. Step 5: Solve for x
    x = 80,333,765.40/9,874.70
  6. Step 6: Final answer
    x = 8,135.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.