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Finding the Fourth Proportional to 11,932.16, 16,465.93 and 6,627.32

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Solution

The fourth proportional to 11,932.16, 16,465.93 and 6,627.32 is: 9,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,932.16 : 16,465.93 = 6,627.32 : x
  2. Step 2: Convert to fraction form
    11,932.16/16,465.93 = 6,627.32/x
  3. Step 3: Cross multiply
    11,932.16x = 16,465.93 × 6,627.32
  4. Step 4: Simplify right side
    11,932.16x = 109,124,993.36
  5. Step 5: Solve for x
    x = 109,124,993.36/11,932.16
  6. Step 6: Final answer
    x = 9,145.45

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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.