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Finding the Fourth Proportional to 9,675.11, 14,512.69 and 2,655.22

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Solution

The fourth proportional to 9,675.11, 14,512.69 and 2,655.22 is: 3,982.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.11 : 14,512.69 = 2,655.22 : x
  2. Step 2: Convert to fraction form
    9,675.11/14,512.69 = 2,655.22/x
  3. Step 3: Cross multiply
    9,675.11x = 14,512.69 × 2,655.22
  4. Step 4: Simplify right side
    9,675.11x = 38,534,384.74
  5. Step 5: Solve for x
    x = 38,534,384.74/9,675.11
  6. Step 6: Final answer
    x = 3,982.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.