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Finding the Fourth Proportional to 30,775.68, 46,169.73 and 9,718.99

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Solution

The fourth proportional to 30,775.68, 46,169.73 and 9,718.99 is: 14,580.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775.68 : 46,169.73 = 9,718.99 : x
  2. Step 2: Convert to fraction form
    30,775.68/46,169.73 = 9,718.99/x
  3. Step 3: Cross multiply
    30,775.68x = 46,169.73 × 9,718.99
  4. Step 4: Simplify right side
    30,775.68x = 448,723,028.75
  5. Step 5: Solve for x
    x = 448,723,028.75/30,775.68
  6. Step 6: Final answer
    x = 14,580.44

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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.