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Finding the Fourth Proportional to 6,702.40, 10,042.80 and 4,232.80

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Solution

The fourth proportional to 6,702.40, 10,042.80 and 4,232.80 is: 6,342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.40 : 10,042.80 = 4,232.80 : x
  2. Step 2: Convert to fraction form
    6,702.40/10,042.80 = 4,232.80/x
  3. Step 3: Cross multiply
    6,702.40x = 10,042.80 × 4,232.80
  4. Step 4: Simplify right side
    6,702.40x = 42,509,163.84
  5. Step 5: Solve for x
    x = 42,509,163.84/6,702.40
  6. Step 6: Final answer
    x = 6,342.38

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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.