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Finding the Fourth Proportional to 14,564.60, 21,863.10 and 9,024.20

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Solution

The fourth proportional to 14,564.60, 21,863.10 and 9,024.20 is: 13,546.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.60 : 21,863.10 = 9,024.20 : x
  2. Step 2: Convert to fraction form
    14,564.60/21,863.10 = 9,024.20/x
  3. Step 3: Cross multiply
    14,564.60x = 21,863.10 × 9,024.20
  4. Step 4: Simplify right side
    14,564.60x = 197,296,987.02
  5. Step 5: Solve for x
    x = 197,296,987.02/14,564.60
  6. Step 6: Final answer
    x = 13,546.34

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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.