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Finding the Fourth Proportional to 17,798.34, 24,559.54 and 9,839.46

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Solution

The fourth proportional to 17,798.34, 24,559.54 and 9,839.46 is: 13,577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,798.34 : 24,559.54 = 9,839.46 : x
  2. Step 2: Convert to fraction form
    17,798.34/24,559.54 = 9,839.46/x
  3. Step 3: Cross multiply
    17,798.34x = 24,559.54 × 9,839.46
  4. Step 4: Simplify right side
    17,798.34x = 241,652,611.45
  5. Step 5: Solve for x
    x = 241,652,611.45/17,798.34
  6. Step 6: Final answer
    x = 13,577.26

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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.