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Finding the Fourth Proportional to 6,477.24, 9,717.48 and 1,860.24

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Solution

The fourth proportional to 6,477.24, 9,717.48 and 1,860.24 is: 2,790.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.24 : 9,717.48 = 1,860.24 : x
  2. Step 2: Convert to fraction form
    6,477.24/9,717.48 = 1,860.24/x
  3. Step 3: Cross multiply
    6,477.24x = 9,717.48 × 1,860.24
  4. Step 4: Simplify right side
    6,477.24x = 18,076,845.00
  5. Step 5: Solve for x
    x = 18,076,845.00/6,477.24
  6. Step 6: Final answer
    x = 2,790.83

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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.