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Finding the Fourth Proportional to 30,796.56, 46,194.81 and 7,423.00

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Solution

The fourth proportional to 30,796.56, 46,194.81 and 7,423.00 is: 11,134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,796.56 : 46,194.81 = 7,423.00 : x
  2. Step 2: Convert to fraction form
    30,796.56/46,194.81 = 7,423.00/x
  3. Step 3: Cross multiply
    30,796.56x = 46,194.81 × 7,423.00
  4. Step 4: Simplify right side
    30,796.56x = 342,903,931.31
  5. Step 5: Solve for x
    x = 342,903,931.31/30,796.56
  6. Step 6: Final answer
    x = 11,134.49

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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.