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Finding the Fourth Proportional to 13,776.79, 20,654.78 and 7,106.14

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Solution

The fourth proportional to 13,776.79, 20,654.78 and 7,106.14 is: 10,653.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.79 : 20,654.78 = 7,106.14 : x
  2. Step 2: Convert to fraction form
    13,776.79/20,654.78 = 7,106.14/x
  3. Step 3: Cross multiply
    13,776.79x = 20,654.78 × 7,106.14
  4. Step 4: Simplify right side
    13,776.79x = 146,775,724.48
  5. Step 5: Solve for x
    x = 146,775,724.48/13,776.79
  6. Step 6: Final answer
    x = 10,653.84

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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.