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Finding the Fourth Proportional to 16,509.96, 22,781.34 and 9,435

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Solution

The fourth proportional to 16,509.96, 22,781.34 and 9,435 is: 13,018.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.96 : 22,781.34 = 9,435 : x
  2. Step 2: Convert to fraction form
    16,509.96/22,781.34 = 9,435/x
  3. Step 3: Cross multiply
    16,509.96x = 22,781.34 × 9,435
  4. Step 4: Simplify right side
    16,509.96x = 214,941,942.90
  5. Step 5: Solve for x
    x = 214,941,942.90/16,509.96
  6. Step 6: Final answer
    x = 13,018.93

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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.