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Finding the Fourth Proportional to 13,772.94, 19,006.95 and 7,804.86

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Solution

The fourth proportional to 13,772.94, 19,006.95 and 7,804.86 is: 10,770.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.94 : 19,006.95 = 7,804.86 : x
  2. Step 2: Convert to fraction form
    13,772.94/19,006.95 = 7,804.86/x
  3. Step 3: Cross multiply
    13,772.94x = 19,006.95 × 7,804.86
  4. Step 4: Simplify right side
    13,772.94x = 148,346,583.78
  5. Step 5: Solve for x
    x = 148,346,583.78/13,772.94
  6. Step 6: Final answer
    x = 10,770.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.