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Finding the Fourth Proportional to 16,666, 22,999.58 and 9,112.16

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Solution

The fourth proportional to 16,666, 22,999.58 and 9,112.16 is: 12,575.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,666 : 22,999.58 = 9,112.16 : x
  2. Step 2: Convert to fraction form
    16,666/22,999.58 = 9,112.16/x
  3. Step 3: Cross multiply
    16,666x = 22,999.58 × 9,112.16
  4. Step 4: Simplify right side
    16,666x = 209,575,852.89
  5. Step 5: Solve for x
    x = 209,575,852.89/16,666
  6. Step 6: Final answer
    x = 12,575.05

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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.