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Finding the Fourth Proportional to 6,140.41, 9,210.71 and 3,224.41

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Solution

The fourth proportional to 6,140.41, 9,210.71 and 3,224.41 is: 4,836.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.41 : 9,210.71 = 3,224.41 : x
  2. Step 2: Convert to fraction form
    6,140.41/9,210.71 = 3,224.41/x
  3. Step 3: Cross multiply
    6,140.41x = 9,210.71 × 3,224.41
  4. Step 4: Simplify right side
    6,140.41x = 29,699,090.47
  5. Step 5: Solve for x
    x = 29,699,090.47/6,140.41
  6. Step 6: Final answer
    x = 4,836.66

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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.