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Finding the Fourth Proportional to 9,702.62, 14,469 and 9,613.94

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Solution

The fourth proportional to 9,702.62, 14,469 and 9,613.94 is: 14,336.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.62 : 14,469 = 9,613.94 : x
  2. Step 2: Convert to fraction form
    9,702.62/14,469 = 9,613.94/x
  3. Step 3: Cross multiply
    9,702.62x = 14,469 × 9,613.94
  4. Step 4: Simplify right side
    9,702.62x = 139,104,025.52
  5. Step 5: Solve for x
    x = 139,104,025.52/9,702.62
  6. Step 6: Final answer
    x = 14,336.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.