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Finding the Fourth Proportional to 6,709.69, 10,043.63 and 6,005.44

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Solution

The fourth proportional to 6,709.69, 10,043.63 and 6,005.44 is: 8,989.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.69 : 10,043.63 = 6,005.44 : x
  2. Step 2: Convert to fraction form
    6,709.69/10,043.63 = 6,005.44/x
  3. Step 3: Cross multiply
    6,709.69x = 10,043.63 × 6,005.44
  4. Step 4: Simplify right side
    6,709.69x = 60,316,337.10
  5. Step 5: Solve for x
    x = 60,316,337.10/6,709.69
  6. Step 6: Final answer
    x = 8,989.44

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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.