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Finding the Fourth Proportional to 13,920.84, 19,211.76 and 7,954.32

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Solution

The fourth proportional to 13,920.84, 19,211.76 and 7,954.32 is: 10,977.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.84 : 19,211.76 = 7,954.32 : x
  2. Step 2: Convert to fraction form
    13,920.84/19,211.76 = 7,954.32/x
  3. Step 3: Cross multiply
    13,920.84x = 19,211.76 × 7,954.32
  4. Step 4: Simplify right side
    13,920.84x = 152,816,486.80
  5. Step 5: Solve for x
    x = 152,816,486.80/13,920.84
  6. Step 6: Final answer
    x = 10,977.53

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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.