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Finding the Fourth Proportional to 6,937.41, 10,405.71 and 3,040.50

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Solution

The fourth proportional to 6,937.41, 10,405.71 and 3,040.50 is: 4,560.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.41 : 10,405.71 = 3,040.50 : x
  2. Step 2: Convert to fraction form
    6,937.41/10,405.71 = 3,040.50/x
  3. Step 3: Cross multiply
    6,937.41x = 10,405.71 × 3,040.50
  4. Step 4: Simplify right side
    6,937.41x = 31,638,561.26
  5. Step 5: Solve for x
    x = 31,638,561.26/6,937.41
  6. Step 6: Final answer
    x = 4,560.57

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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.