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Finding the Fourth Proportional to 7,829.58, 11,750.92 and 7,336.95

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Solution

The fourth proportional to 7,829.58, 11,750.92 and 7,336.95 is: 11,011.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.58 : 11,750.92 = 7,336.95 : x
  2. Step 2: Convert to fraction form
    7,829.58/11,750.92 = 7,336.95/x
  3. Step 3: Cross multiply
    7,829.58x = 11,750.92 × 7,336.95
  4. Step 4: Simplify right side
    7,829.58x = 86,215,923.53
  5. Step 5: Solve for x
    x = 86,215,923.53/7,829.58
  6. Step 6: Final answer
    x = 11,011.56

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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.