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Finding the Fourth Proportional to 13,666.10, 18,859.02 and 7,698.38

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Solution

The fourth proportional to 13,666.10, 18,859.02 and 7,698.38 is: 10,623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.10 : 18,859.02 = 7,698.38 : x
  2. Step 2: Convert to fraction form
    13,666.10/18,859.02 = 7,698.38/x
  3. Step 3: Cross multiply
    13,666.10x = 18,859.02 × 7,698.38
  4. Step 4: Simplify right side
    13,666.10x = 145,183,902.39
  5. Step 5: Solve for x
    x = 145,183,902.39/13,666.10
  6. Step 6: Final answer
    x = 10,623.65

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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.