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Finding the Fourth Proportional to 11,746.76, 17,620.14 and 6,274.76

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Solution

The fourth proportional to 11,746.76, 17,620.14 and 6,274.76 is: 9,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746.76 : 17,620.14 = 6,274.76 : x
  2. Step 2: Convert to fraction form
    11,746.76/17,620.14 = 6,274.76/x
  3. Step 3: Cross multiply
    11,746.76x = 17,620.14 × 6,274.76
  4. Step 4: Simplify right side
    11,746.76x = 110,562,149.67
  5. Step 5: Solve for x
    x = 110,562,149.67/11,746.76
  6. Step 6: Final answer
    x = 9,412.14

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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.