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Finding the Fourth Proportional to 12,971.33, 17,900.48 and 7,592.80

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Solution

The fourth proportional to 12,971.33, 17,900.48 and 7,592.80 is: 10,478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.33 : 17,900.48 = 7,592.80 : x
  2. Step 2: Convert to fraction form
    12,971.33/17,900.48 = 7,592.80/x
  3. Step 3: Cross multiply
    12,971.33x = 17,900.48 × 7,592.80
  4. Step 4: Simplify right side
    12,971.33x = 135,914,637.08
  5. Step 5: Solve for x
    x = 135,914,637.08/12,971.33
  6. Step 6: Final answer
    x = 10,478.08

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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.