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Finding the Fourth Proportional to 13,453.43, 18,567.20 and 7,788.08

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Solution

The fourth proportional to 13,453.43, 18,567.20 and 7,788.08 is: 10,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453.43 : 18,567.20 = 7,788.08 : x
  2. Step 2: Convert to fraction form
    13,453.43/18,567.20 = 7,788.08/x
  3. Step 3: Cross multiply
    13,453.43x = 18,567.20 × 7,788.08
  4. Step 4: Simplify right side
    13,453.43x = 144,602,904.86
  5. Step 5: Solve for x
    x = 144,602,904.86/13,453.43
  6. Step 6: Final answer
    x = 10,748.41

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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.