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Finding the Fourth Proportional to 6,709.91, 10,047.65 and 6,512.87

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Solution

The fourth proportional to 6,709.91, 10,047.65 and 6,512.87 is: 9,752.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.91 : 10,047.65 = 6,512.87 : x
  2. Step 2: Convert to fraction form
    6,709.91/10,047.65 = 6,512.87/x
  3. Step 3: Cross multiply
    6,709.91x = 10,047.65 × 6,512.87
  4. Step 4: Simplify right side
    6,709.91x = 65,439,030.81
  5. Step 5: Solve for x
    x = 65,439,030.81/6,709.91
  6. Step 6: Final answer
    x = 9,752.60

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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.