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Finding the Fourth Proportional to 13,666.62, 18,860 and 7,698.36

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Solution

The fourth proportional to 13,666.62, 18,860 and 7,698.36 is: 10,623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.62 : 18,860 = 7,698.36 : x
  2. Step 2: Convert to fraction form
    13,666.62/18,860 = 7,698.36/x
  3. Step 3: Cross multiply
    13,666.62x = 18,860 × 7,698.36
  4. Step 4: Simplify right side
    13,666.62x = 145,191,069.60
  5. Step 5: Solve for x
    x = 145,191,069.60/13,666.62
  6. Step 6: Final answer
    x = 10,623.77

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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.