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Finding the Fourth Proportional to 9,783.76, 13,512.52 and 6,634.48

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Solution

The fourth proportional to 9,783.76, 13,512.52 and 6,634.48 is: 9,162.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.76 : 13,512.52 = 6,634.48 : x
  2. Step 2: Convert to fraction form
    9,783.76/13,512.52 = 6,634.48/x
  3. Step 3: Cross multiply
    9,783.76x = 13,512.52 × 6,634.48
  4. Step 4: Simplify right side
    9,783.76x = 89,648,543.69
  5. Step 5: Solve for x
    x = 89,648,543.69/9,783.76
  6. Step 6: Final answer
    x = 9,162.99

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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.