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Finding the Fourth Proportional to 30,836.12, 46,254.02 and 7,462.56

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Solution

The fourth proportional to 30,836.12, 46,254.02 and 7,462.56 is: 11,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,836.12 : 46,254.02 = 7,462.56 : x
  2. Step 2: Convert to fraction form
    30,836.12/46,254.02 = 7,462.56/x
  3. Step 3: Cross multiply
    30,836.12x = 46,254.02 × 7,462.56
  4. Step 4: Simplify right side
    30,836.12x = 345,173,362.18
  5. Step 5: Solve for x
    x = 345,173,362.18/30,836.12
  6. Step 6: Final answer
    x = 11,193.80

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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.