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Finding the Fourth Proportional to 7,034.46, 9,702.98 and 4,512.57

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Solution

The fourth proportional to 7,034.46, 9,702.98 and 4,512.57 is: 6,224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.46 : 9,702.98 = 4,512.57 : x
  2. Step 2: Convert to fraction form
    7,034.46/9,702.98 = 4,512.57/x
  3. Step 3: Cross multiply
    7,034.46x = 9,702.98 × 4,512.57
  4. Step 4: Simplify right side
    7,034.46x = 43,785,378.15
  5. Step 5: Solve for x
    x = 43,785,378.15/7,034.46
  6. Step 6: Final answer
    x = 6,224.42

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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.