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Finding the Fourth Proportional to 14,564.88, 20,094.84 and 8,598.54

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Solution

The fourth proportional to 14,564.88, 20,094.84 and 8,598.54 is: 11,863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.88 : 20,094.84 = 8,598.54 : x
  2. Step 2: Convert to fraction form
    14,564.88/20,094.84 = 8,598.54/x
  3. Step 3: Cross multiply
    14,564.88x = 20,094.84 × 8,598.54
  4. Step 4: Simplify right side
    14,564.88x = 172,786,285.53
  5. Step 5: Solve for x
    x = 172,786,285.53/14,564.88
  6. Step 6: Final answer
    x = 11,863.21

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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.