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Finding the Fourth Proportional to 13,175.60, 19,763.40 and 9,676.40

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Solution

The fourth proportional to 13,175.60, 19,763.40 and 9,676.40 is: 14,514.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175.60 : 19,763.40 = 9,676.40 : x
  2. Step 2: Convert to fraction form
    13,175.60/19,763.40 = 9,676.40/x
  3. Step 3: Cross multiply
    13,175.60x = 19,763.40 × 9,676.40
  4. Step 4: Simplify right side
    13,175.60x = 191,238,563.76
  5. Step 5: Solve for x
    x = 191,238,563.76/13,175.60
  6. Step 6: Final answer
    x = 14,514.60

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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.