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Finding the Fourth Proportional to 30,777.64, 46,166.46 and 7,404.09

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Solution

The fourth proportional to 30,777.64, 46,166.46 and 7,404.09 is: 11,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,777.64 : 46,166.46 = 7,404.09 : x
  2. Step 2: Convert to fraction form
    30,777.64/46,166.46 = 7,404.09/x
  3. Step 3: Cross multiply
    30,777.64x = 46,166.46 × 7,404.09
  4. Step 4: Simplify right side
    30,777.64x = 341,820,624.82
  5. Step 5: Solve for x
    x = 341,820,624.82/30,777.64
  6. Step 6: Final answer
    x = 11,106.14

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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.