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Finding the Fourth Proportional to 11,970.83, 17,950.23 and 6,974.81

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Solution

The fourth proportional to 11,970.83, 17,950.23 and 6,974.81 is: 10,458.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.83 : 17,950.23 = 6,974.81 : x
  2. Step 2: Convert to fraction form
    11,970.83/17,950.23 = 6,974.81/x
  3. Step 3: Cross multiply
    11,970.83x = 17,950.23 × 6,974.81
  4. Step 4: Simplify right side
    11,970.83x = 125,199,541.86
  5. Step 5: Solve for x
    x = 125,199,541.86/11,970.83
  6. Step 6: Final answer
    x = 10,458.72

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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.