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Finding the Fourth Proportional to 17,661.40, 26,513.70 and 9,770.20

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Solution

The fourth proportional to 17,661.40, 26,513.70 and 9,770.20 is: 14,667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,661.40 : 26,513.70 = 9,770.20 : x
  2. Step 2: Convert to fraction form
    17,661.40/26,513.70 = 9,770.20/x
  3. Step 3: Cross multiply
    17,661.40x = 26,513.70 × 9,770.20
  4. Step 4: Simplify right side
    17,661.40x = 259,044,151.74
  5. Step 5: Solve for x
    x = 259,044,151.74/17,661.40
  6. Step 6: Final answer
    x = 14,667.25

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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.