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Finding the Fourth Proportional to 16,477.35, 22,737 and 9,306.63

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Solution

The fourth proportional to 16,477.35, 22,737 and 9,306.63 is: 12,842.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.35 : 22,737 = 9,306.63 : x
  2. Step 2: Convert to fraction form
    16,477.35/22,737 = 9,306.63/x
  3. Step 3: Cross multiply
    16,477.35x = 22,737 × 9,306.63
  4. Step 4: Simplify right side
    16,477.35x = 211,604,846.31
  5. Step 5: Solve for x
    x = 211,604,846.31/16,477.35
  6. Step 6: Final answer
    x = 12,842.16

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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.