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Finding the Fourth Proportional to 9,960.16, 13,745.12 and 5,484

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Solution

The fourth proportional to 9,960.16, 13,745.12 and 5,484 is: 7,567.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.16 : 13,745.12 = 5,484 : x
  2. Step 2: Convert to fraction form
    9,960.16/13,745.12 = 5,484/x
  3. Step 3: Cross multiply
    9,960.16x = 13,745.12 × 5,484
  4. Step 4: Simplify right side
    9,960.16x = 75,378,238.08
  5. Step 5: Solve for x
    x = 75,378,238.08/9,960.16
  6. Step 6: Final answer
    x = 7,567.97

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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.