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Finding the Fourth Proportional to 13,752.75, 18,978.75 and 7,465.08

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Solution

The fourth proportional to 13,752.75, 18,978.75 and 7,465.08 is: 10,301.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.75 : 18,978.75 = 7,465.08 : x
  2. Step 2: Convert to fraction form
    13,752.75/18,978.75 = 7,465.08/x
  3. Step 3: Cross multiply
    13,752.75x = 18,978.75 × 7,465.08
  4. Step 4: Simplify right side
    13,752.75x = 141,677,887.05
  5. Step 5: Solve for x
    x = 141,677,887.05/13,752.75
  6. Step 6: Final answer
    x = 10,301.79

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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.