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Finding the Fourth Proportional to 19,182.76, 28,774.14 and 10,969

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Solution

The fourth proportional to 19,182.76, 28,774.14 and 10,969 is: 16,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,182.76 : 28,774.14 = 10,969 : x
  2. Step 2: Convert to fraction form
    19,182.76/28,774.14 = 10,969/x
  3. Step 3: Cross multiply
    19,182.76x = 28,774.14 × 10,969
  4. Step 4: Simplify right side
    19,182.76x = 315,623,541.66
  5. Step 5: Solve for x
    x = 315,623,541.66/19,182.76
  6. Step 6: Final answer
    x = 16,453.50

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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.