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Finding the Fourth Proportional to 16,830, 23,225.09 and 9,173.34

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Solution

The fourth proportional to 16,830, 23,225.09 and 9,173.34 is: 12,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,830 : 23,225.09 = 9,173.34 : x
  2. Step 2: Convert to fraction form
    16,830/23,225.09 = 9,173.34/x
  3. Step 3: Cross multiply
    16,830x = 23,225.09 × 9,173.34
  4. Step 4: Simplify right side
    16,830x = 213,051,647.10
  5. Step 5: Solve for x
    x = 213,051,647.10/16,830
  6. Step 6: Final answer
    x = 12,659.04

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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.