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Finding the Fourth Proportional to 12,588.84, 17,371.86 and 7,283.28

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Solution

The fourth proportional to 12,588.84, 17,371.86 and 7,283.28 is: 10,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,588.84 : 17,371.86 = 7,283.28 : x
  2. Step 2: Convert to fraction form
    12,588.84/17,371.86 = 7,283.28/x
  3. Step 3: Cross multiply
    12,588.84x = 17,371.86 × 7,283.28
  4. Step 4: Simplify right side
    12,588.84x = 126,524,120.50
  5. Step 5: Solve for x
    x = 126,524,120.50/12,588.84
  6. Step 6: Final answer
    x = 10,050.50

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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.