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Finding the Fourth Proportional to 6,776.97, 10,154.97 and 5,784.62

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Solution

The fourth proportional to 6,776.97, 10,154.97 and 5,784.62 is: 8,667.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.97 : 10,154.97 = 5,784.62 : x
  2. Step 2: Convert to fraction form
    6,776.97/10,154.97 = 5,784.62/x
  3. Step 3: Cross multiply
    6,776.97x = 10,154.97 × 5,784.62
  4. Step 4: Simplify right side
    6,776.97x = 58,742,591.79
  5. Step 5: Solve for x
    x = 58,742,591.79/6,776.97
  6. Step 6: Final answer
    x = 8,667.98

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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.