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Finding the Fourth Proportional to 9,874.66, 13,627.01 and 5,898.10

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Solution

The fourth proportional to 9,874.66, 13,627.01 and 5,898.10 is: 8,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.66 : 13,627.01 = 5,898.10 : x
  2. Step 2: Convert to fraction form
    9,874.66/13,627.01 = 5,898.10/x
  3. Step 3: Cross multiply
    9,874.66x = 13,627.01 × 5,898.10
  4. Step 4: Simplify right side
    9,874.66x = 80,373,448.36
  5. Step 5: Solve for x
    x = 80,373,448.36/9,874.66
  6. Step 6: Final answer
    x = 8,139.37

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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.