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Finding the Fourth Proportional to 16,563.42, 22,857.93 and 9,010.17

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Solution

The fourth proportional to 16,563.42, 22,857.93 and 9,010.17 is: 12,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563.42 : 22,857.93 = 9,010.17 : x
  2. Step 2: Convert to fraction form
    16,563.42/22,857.93 = 9,010.17/x
  3. Step 3: Cross multiply
    16,563.42x = 22,857.93 × 9,010.17
  4. Step 4: Simplify right side
    16,563.42x = 205,953,835.15
  5. Step 5: Solve for x
    x = 205,953,835.15/16,563.42
  6. Step 6: Final answer
    x = 12,434.26

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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.