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Finding the Fourth Proportional to 46,286.22, 69,423.90 and 13,009.11

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Solution

The fourth proportional to 46,286.22, 69,423.90 and 13,009.11 is: 19,512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,286.22 : 69,423.90 = 13,009.11 : x
  2. Step 2: Convert to fraction form
    46,286.22/69,423.90 = 13,009.11/x
  3. Step 3: Cross multiply
    46,286.22x = 69,423.90 × 13,009.11
  4. Step 4: Simplify right side
    46,286.22x = 903,143,151.73
  5. Step 5: Solve for x
    x = 903,143,151.73/46,286.22
  6. Step 6: Final answer
    x = 19,512.14

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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.