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Finding the Fourth Proportional to 16,549.29, 22,838.01 and 9,097.29

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Solution

The fourth proportional to 16,549.29, 22,838.01 and 9,097.29 is: 12,554.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549.29 : 22,838.01 = 9,097.29 : x
  2. Step 2: Convert to fraction form
    16,549.29/22,838.01 = 9,097.29/x
  3. Step 3: Cross multiply
    16,549.29x = 22,838.01 × 9,097.29
  4. Step 4: Simplify right side
    16,549.29x = 207,763,999.99
  5. Step 5: Solve for x
    x = 207,763,999.99/16,549.29
  6. Step 6: Final answer
    x = 12,554.25

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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.