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Finding the Fourth Proportional to 27,977, 41,968.74 and 9,259.52

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Solution

The fourth proportional to 27,977, 41,968.74 and 9,259.52 is: 13,890.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,977 : 41,968.74 = 9,259.52 : x
  2. Step 2: Convert to fraction form
    27,977/41,968.74 = 9,259.52/x
  3. Step 3: Cross multiply
    27,977x = 41,968.74 × 9,259.52
  4. Step 4: Simplify right side
    27,977x = 388,610,387.40
  5. Step 5: Solve for x
    x = 388,610,387.40/27,977
  6. Step 6: Final answer
    x = 13,890.35

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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.