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Finding the Fourth Proportional to 9,878.66, 13,632.78 and 5,629.63

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Solution

The fourth proportional to 9,878.66, 13,632.78 and 5,629.63 is: 7,769.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.66 : 13,632.78 = 5,629.63 : x
  2. Step 2: Convert to fraction form
    9,878.66/13,632.78 = 5,629.63/x
  3. Step 3: Cross multiply
    9,878.66x = 13,632.78 × 5,629.63
  4. Step 4: Simplify right side
    9,878.66x = 76,747,439.11
  5. Step 5: Solve for x
    x = 76,747,439.11/9,878.66
  6. Step 6: Final answer
    x = 7,769.02

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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.