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Finding the Fourth Proportional to 12,702.27, 18,980.63 and 9,683.71

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Solution

The fourth proportional to 12,702.27, 18,980.63 and 9,683.71 is: 14,470.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.27 : 18,980.63 = 9,683.71 : x
  2. Step 2: Convert to fraction form
    12,702.27/18,980.63 = 9,683.71/x
  3. Step 3: Cross multiply
    12,702.27x = 18,980.63 × 9,683.71
  4. Step 4: Simplify right side
    12,702.27x = 183,802,916.54
  5. Step 5: Solve for x
    x = 183,802,916.54/12,702.27
  6. Step 6: Final answer
    x = 14,470.08

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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.