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Finding the Fourth Proportional to 17,458.98, 24,092.84 and 9,501

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Solution

The fourth proportional to 17,458.98, 24,092.84 and 9,501 is: 13,111.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,458.98 : 24,092.84 = 9,501 : x
  2. Step 2: Convert to fraction form
    17,458.98/24,092.84 = 9,501/x
  3. Step 3: Cross multiply
    17,458.98x = 24,092.84 × 9,501
  4. Step 4: Simplify right side
    17,458.98x = 228,906,072.84
  5. Step 5: Solve for x
    x = 228,906,072.84/17,458.98
  6. Step 6: Final answer
    x = 13,111.08

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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.