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Finding the Fourth Proportional to 12,592.59, 17,378.51 and 7,289.25

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Solution

The fourth proportional to 12,592.59, 17,378.51 and 7,289.25 is: 10,059.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592.59 : 17,378.51 = 7,289.25 : x
  2. Step 2: Convert to fraction form
    12,592.59/17,378.51 = 7,289.25/x
  3. Step 3: Cross multiply
    12,592.59x = 17,378.51 × 7,289.25
  4. Step 4: Simplify right side
    12,592.59x = 126,676,304.02
  5. Step 5: Solve for x
    x = 126,676,304.02/12,592.59
  6. Step 6: Final answer
    x = 10,059.59

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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.