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Finding the Fourth Proportional to 13,772.56, 19,006.15 and 7,804.63

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Solution

The fourth proportional to 13,772.56, 19,006.15 and 7,804.63 is: 10,770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.56 : 19,006.15 = 7,804.63 : x
  2. Step 2: Convert to fraction form
    13,772.56/19,006.15 = 7,804.63/x
  3. Step 3: Cross multiply
    13,772.56x = 19,006.15 × 7,804.63
  4. Step 4: Simplify right side
    13,772.56x = 148,335,968.47
  5. Step 5: Solve for x
    x = 148,335,968.47/13,772.56
  6. Step 6: Final answer
    x = 10,770.40

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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.