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Finding the Fourth Proportional to 17,833.53, 26,747.86 and 7,970.16

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Solution

The fourth proportional to 17,833.53, 26,747.86 and 7,970.16 is: 11,954.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,833.53 : 26,747.86 = 7,970.16 : x
  2. Step 2: Convert to fraction form
    17,833.53/26,747.86 = 7,970.16/x
  3. Step 3: Cross multiply
    17,833.53x = 26,747.86 × 7,970.16
  4. Step 4: Simplify right side
    17,833.53x = 213,184,723.86
  5. Step 5: Solve for x
    x = 213,184,723.86/17,833.53
  6. Step 6: Final answer
    x = 11,954.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.