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Finding the Fourth Proportional to 30,784.55, 46,176.83 and 7,410.99

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Solution

The fourth proportional to 30,784.55, 46,176.83 and 7,410.99 is: 11,116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,784.55 : 46,176.83 = 7,410.99 : x
  2. Step 2: Convert to fraction form
    30,784.55/46,176.83 = 7,410.99/x
  3. Step 3: Cross multiply
    30,784.55x = 46,176.83 × 7,410.99
  4. Step 4: Simplify right side
    30,784.55x = 342,215,757.42
  5. Step 5: Solve for x
    x = 342,215,757.42/30,784.55
  6. Step 6: Final answer
    x = 11,116.48

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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.