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Finding the Fourth Proportional to 15,894.64, 21,933.15 and 9,433.16

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Solution

The fourth proportional to 15,894.64, 21,933.15 and 9,433.16 is: 13,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.64 : 21,933.15 = 9,433.16 : x
  2. Step 2: Convert to fraction form
    15,894.64/21,933.15 = 9,433.16/x
  3. Step 3: Cross multiply
    15,894.64x = 21,933.15 × 9,433.16
  4. Step 4: Simplify right side
    15,894.64x = 206,898,913.25
  5. Step 5: Solve for x
    x = 206,898,913.25/15,894.64
  6. Step 6: Final answer
    x = 13,016.90

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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.