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Finding the Fourth Proportional to 6,711.91, 10,069.68 and 4,776.40

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Solution

The fourth proportional to 6,711.91, 10,069.68 and 4,776.40 is: 7,165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.91 : 10,069.68 = 4,776.40 : x
  2. Step 2: Convert to fraction form
    6,711.91/10,069.68 = 4,776.40/x
  3. Step 3: Cross multiply
    6,711.91x = 10,069.68 × 4,776.40
  4. Step 4: Simplify right side
    6,711.91x = 48,096,819.55
  5. Step 5: Solve for x
    x = 48,096,819.55/6,711.91
  6. Step 6: Final answer
    x = 7,165.89

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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.