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Finding the Fourth Proportional to 13,689.98, 18,894.91 and 7,721.77

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Solution

The fourth proportional to 13,689.98, 18,894.91 and 7,721.77 is: 10,657.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.98 : 18,894.91 = 7,721.77 : x
  2. Step 2: Convert to fraction form
    13,689.98/18,894.91 = 7,721.77/x
  3. Step 3: Cross multiply
    13,689.98x = 18,894.91 × 7,721.77
  4. Step 4: Simplify right side
    13,689.98x = 145,902,054.72
  5. Step 5: Solve for x
    x = 145,902,054.72/13,689.98
  6. Step 6: Final answer
    x = 10,657.58

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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.