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Finding the Fourth Proportional to 13,752.24, 18,978.48 and 8,087.40

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Solution

The fourth proportional to 13,752.24, 18,978.48 and 8,087.40 is: 11,160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.24 : 18,978.48 = 8,087.40 : x
  2. Step 2: Convert to fraction form
    13,752.24/18,978.48 = 8,087.40/x
  3. Step 3: Cross multiply
    13,752.24x = 18,978.48 × 8,087.40
  4. Step 4: Simplify right side
    13,752.24x = 153,486,559.15
  5. Step 5: Solve for x
    x = 153,486,559.15/13,752.24
  6. Step 6: Final answer
    x = 11,160.84

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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.