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Finding the Fourth Proportional to 12,643.28, 17,444.13 and 7,604.98

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Solution

The fourth proportional to 12,643.28, 17,444.13 and 7,604.98 is: 10,492.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.28 : 17,444.13 = 7,604.98 : x
  2. Step 2: Convert to fraction form
    12,643.28/17,444.13 = 7,604.98/x
  3. Step 3: Cross multiply
    12,643.28x = 17,444.13 × 7,604.98
  4. Step 4: Simplify right side
    12,643.28x = 132,662,259.77
  5. Step 5: Solve for x
    x = 132,662,259.77/12,643.28
  6. Step 6: Final answer
    x = 10,492.71

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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.