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Finding the Fourth Proportional to 7,752.69, 11,672.91 and 6,834.15

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Solution

The fourth proportional to 7,752.69, 11,672.91 and 6,834.15 is: 10,289.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.69 : 11,672.91 = 6,834.15 : x
  2. Step 2: Convert to fraction form
    7,752.69/11,672.91 = 6,834.15/x
  3. Step 3: Cross multiply
    7,752.69x = 11,672.91 × 6,834.15
  4. Step 4: Simplify right side
    7,752.69x = 79,774,417.88
  5. Step 5: Solve for x
    x = 79,774,417.88/7,752.69
  6. Step 6: Final answer
    x = 10,289.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.