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Finding the Fourth Proportional to 12,767.28, 17,611.65 and 7,661.48

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Solution

The fourth proportional to 12,767.28, 17,611.65 and 7,661.48 is: 10,568.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.28 : 17,611.65 = 7,661.48 : x
  2. Step 2: Convert to fraction form
    12,767.28/17,611.65 = 7,661.48/x
  3. Step 3: Cross multiply
    12,767.28x = 17,611.65 × 7,661.48
  4. Step 4: Simplify right side
    12,767.28x = 134,931,235.34
  5. Step 5: Solve for x
    x = 134,931,235.34/12,767.28
  6. Step 6: Final answer
    x = 10,568.52

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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.