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Finding the Fourth Proportional to 13,980.62, 20,970.93 and 9,584.75

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Solution

The fourth proportional to 13,980.62, 20,970.93 and 9,584.75 is: 14,377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.62 : 20,970.93 = 9,584.75 : x
  2. Step 2: Convert to fraction form
    13,980.62/20,970.93 = 9,584.75/x
  3. Step 3: Cross multiply
    13,980.62x = 20,970.93 × 9,584.75
  4. Step 4: Simplify right side
    13,980.62x = 201,001,121.32
  5. Step 5: Solve for x
    x = 201,001,121.32/13,980.62
  6. Step 6: Final answer
    x = 14,377.13

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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.