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Finding the Fourth Proportional to 12,703.71, 19,044.21 and 6,460.23

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Solution

The fourth proportional to 12,703.71, 19,044.21 and 6,460.23 is: 9,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.71 : 19,044.21 = 6,460.23 : x
  2. Step 2: Convert to fraction form
    12,703.71/19,044.21 = 6,460.23/x
  3. Step 3: Cross multiply
    12,703.71x = 19,044.21 × 6,460.23
  4. Step 4: Simplify right side
    12,703.71x = 123,029,976.77
  5. Step 5: Solve for x
    x = 123,029,976.77/12,703.71
  6. Step 6: Final answer
    x = 9,684.57

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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.