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Finding the Fourth Proportional to 17,282.25, 23,849.64 and 9,830.25

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Solution

The fourth proportional to 17,282.25, 23,849.64 and 9,830.25 is: 13,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,282.25 : 23,849.64 = 9,830.25 : x
  2. Step 2: Convert to fraction form
    17,282.25/23,849.64 = 9,830.25/x
  3. Step 3: Cross multiply
    17,282.25x = 23,849.64 × 9,830.25
  4. Step 4: Simplify right side
    17,282.25x = 234,447,923.61
  5. Step 5: Solve for x
    x = 234,447,923.61/17,282.25
  6. Step 6: Final answer
    x = 13,565.82

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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.