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Finding the Fourth Proportional to 6,041.41, 9,061.71 and 1,658.50

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Solution

The fourth proportional to 6,041.41, 9,061.71 and 1,658.50 is: 2,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,041.41 : 9,061.71 = 1,658.50 : x
  2. Step 2: Convert to fraction form
    6,041.41/9,061.71 = 1,658.50/x
  3. Step 3: Cross multiply
    6,041.41x = 9,061.71 × 1,658.50
  4. Step 4: Simplify right side
    6,041.41x = 15,028,846.04
  5. Step 5: Solve for x
    x = 15,028,846.04/6,041.41
  6. Step 6: Final answer
    x = 2,487.64

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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.