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Finding the Fourth Proportional to 17,894.93, 24,695.79 and 9,937.16

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Solution

The fourth proportional to 17,894.93, 24,695.79 and 9,937.16 is: 13,713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,894.93 : 24,695.79 = 9,937.16 : x
  2. Step 2: Convert to fraction form
    17,894.93/24,695.79 = 9,937.16/x
  3. Step 3: Cross multiply
    17,894.93x = 24,695.79 × 9,937.16
  4. Step 4: Simplify right side
    17,894.93x = 245,406,016.56
  5. Step 5: Solve for x
    x = 245,406,016.56/17,894.93
  6. Step 6: Final answer
    x = 13,713.72

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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.