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Finding the Fourth Proportional to 9,874.16, 13,628.16 and 5,898.68

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Solution

The fourth proportional to 9,874.16, 13,628.16 and 5,898.68 is: 8,141.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.16 : 13,628.16 = 5,898.68 : x
  2. Step 2: Convert to fraction form
    9,874.16/13,628.16 = 5,898.68/x
  3. Step 3: Cross multiply
    9,874.16x = 13,628.16 × 5,898.68
  4. Step 4: Simplify right side
    9,874.16x = 80,388,154.83
  5. Step 5: Solve for x
    x = 80,388,154.83/9,874.16
  6. Step 6: Final answer
    x = 8,141.27

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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.