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Finding the Fourth Proportional to 6,702.56, 9,239.31 and 5,283.71

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Solution

The fourth proportional to 6,702.56, 9,239.31 and 5,283.71 is: 7,283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.56 : 9,239.31 = 5,283.71 : x
  2. Step 2: Convert to fraction form
    6,702.56/9,239.31 = 5,283.71/x
  3. Step 3: Cross multiply
    6,702.56x = 9,239.31 × 5,283.71
  4. Step 4: Simplify right side
    6,702.56x = 48,817,860.20
  5. Step 5: Solve for x
    x = 48,817,860.20/6,702.56
  6. Step 6: Final answer
    x = 7,283.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.