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Finding the Fourth Proportional to 12,875.90, 17,769.17 and 7,571.21

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Solution

The fourth proportional to 12,875.90, 17,769.17 and 7,571.21 is: 10,448.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.90 : 17,769.17 = 7,571.21 : x
  2. Step 2: Convert to fraction form
    12,875.90/17,769.17 = 7,571.21/x
  3. Step 3: Cross multiply
    12,875.90x = 17,769.17 × 7,571.21
  4. Step 4: Simplify right side
    12,875.90x = 134,534,047.68
  5. Step 5: Solve for x
    x = 134,534,047.68/12,875.90
  6. Step 6: Final answer
    x = 10,448.52

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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.