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Finding the Fourth Proportional to 13,953.16, 19,255.52 and 7,984.47

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Solution

The fourth proportional to 13,953.16, 19,255.52 and 7,984.47 is: 11,018.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953.16 : 19,255.52 = 7,984.47 : x
  2. Step 2: Convert to fraction form
    13,953.16/19,255.52 = 7,984.47/x
  3. Step 3: Cross multiply
    13,953.16x = 19,255.52 × 7,984.47
  4. Step 4: Simplify right side
    13,953.16x = 153,745,213.94
  5. Step 5: Solve for x
    x = 153,745,213.94/13,953.16
  6. Step 6: Final answer
    x = 11,018.67

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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.