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Finding the Fourth Proportional to 30,614.90, 45,922.34 and 9,840.02

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Solution

The fourth proportional to 30,614.90, 45,922.34 and 9,840.02 is: 14,760.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,614.90 : 45,922.34 = 9,840.02 : x
  2. Step 2: Convert to fraction form
    30,614.90/45,922.34 = 9,840.02/x
  3. Step 3: Cross multiply
    30,614.90x = 45,922.34 × 9,840.02
  4. Step 4: Simplify right side
    30,614.90x = 451,876,539.04
  5. Step 5: Solve for x
    x = 451,876,539.04/30,614.90
  6. Step 6: Final answer
    x = 14,760.02

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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.