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Finding the Fourth Proportional to 27,783.68, 41,675.52 and 9,328.64

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Solution

The fourth proportional to 27,783.68, 41,675.52 and 9,328.64 is: 13,992.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,783.68 : 41,675.52 = 9,328.64 : x
  2. Step 2: Convert to fraction form
    27,783.68/41,675.52 = 9,328.64/x
  3. Step 3: Cross multiply
    27,783.68x = 41,675.52 × 9,328.64
  4. Step 4: Simplify right side
    27,783.68x = 388,775,922.89
  5. Step 5: Solve for x
    x = 388,775,922.89/27,783.68
  6. Step 6: Final answer
    x = 13,992.96

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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.