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Finding the Fourth Proportional to 17,597.14, 24,283.14 and 9,637.82

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Solution

The fourth proportional to 17,597.14, 24,283.14 and 9,637.82 is: 13,299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,597.14 : 24,283.14 = 9,637.82 : x
  2. Step 2: Convert to fraction form
    17,597.14/24,283.14 = 9,637.82/x
  3. Step 3: Cross multiply
    17,597.14x = 24,283.14 × 9,637.82
  4. Step 4: Simplify right side
    17,597.14x = 234,036,532.35
  5. Step 5: Solve for x
    x = 234,036,532.35/17,597.14
  6. Step 6: Final answer
    x = 13,299.69

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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.