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Finding the Fourth Proportional to 11,900.77, 17,859.23 and 6,358.10

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Solution

The fourth proportional to 11,900.77, 17,859.23 and 6,358.10 is: 9,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.77 : 17,859.23 = 6,358.10 : x
  2. Step 2: Convert to fraction form
    11,900.77/17,859.23 = 6,358.10/x
  3. Step 3: Cross multiply
    11,900.77x = 17,859.23 × 6,358.10
  4. Step 4: Simplify right side
    11,900.77x = 113,550,708.78
  5. Step 5: Solve for x
    x = 113,550,708.78/11,900.77
  6. Step 6: Final answer
    x = 9,541.46

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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.