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Finding the Fourth Proportional to 13,953.78, 19,256.67 and 7,984.98

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Solution

The fourth proportional to 13,953.78, 19,256.67 and 7,984.98 is: 11,019.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953.78 : 19,256.67 = 7,984.98 : x
  2. Step 2: Convert to fraction form
    13,953.78/19,256.67 = 7,984.98/x
  3. Step 3: Cross multiply
    13,953.78x = 19,256.67 × 7,984.98
  4. Step 4: Simplify right side
    13,953.78x = 153,764,124.82
  5. Step 5: Solve for x
    x = 153,764,124.82/13,953.78
  6. Step 6: Final answer
    x = 11,019.53

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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.