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Finding the Fourth Proportional to 30,883.74, 46,322.64 and 8,696.76

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Solution

The fourth proportional to 30,883.74, 46,322.64 and 8,696.76 is: 13,044.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,883.74 : 46,322.64 = 8,696.76 : x
  2. Step 2: Convert to fraction form
    30,883.74/46,322.64 = 8,696.76/x
  3. Step 3: Cross multiply
    30,883.74x = 46,322.64 × 8,696.76
  4. Step 4: Simplify right side
    30,883.74x = 402,856,882.65
  5. Step 5: Solve for x
    x = 402,856,882.65/30,883.74
  6. Step 6: Final answer
    x = 13,044.30

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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.