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Finding the Fourth Proportional to 16,646.12, 22,971.12 and 9,092.24

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Solution

The fourth proportional to 16,646.12, 22,971.12 and 9,092.24 is: 12,547.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,646.12 : 22,971.12 = 9,092.24 : x
  2. Step 2: Convert to fraction form
    16,646.12/22,971.12 = 9,092.24/x
  3. Step 3: Cross multiply
    16,646.12x = 22,971.12 × 9,092.24
  4. Step 4: Simplify right side
    16,646.12x = 208,858,936.11
  5. Step 5: Solve for x
    x = 208,858,936.11/16,646.12
  6. Step 6: Final answer
    x = 12,547.00

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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.