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Finding the Fourth Proportional to 6,341.46, 9,509.20 and 1,897.41

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Solution

The fourth proportional to 6,341.46, 9,509.20 and 1,897.41 is: 2,845.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.46 : 9,509.20 = 1,897.41 : x
  2. Step 2: Convert to fraction form
    6,341.46/9,509.20 = 1,897.41/x
  3. Step 3: Cross multiply
    6,341.46x = 9,509.20 × 1,897.41
  4. Step 4: Simplify right side
    6,341.46x = 18,042,868.72
  5. Step 5: Solve for x
    x = 18,042,868.72/6,341.46
  6. Step 6: Final answer
    x = 2,845.22

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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.