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Finding the Fourth Proportional to 16,709, 23,058.43 and 9,994.91

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Solution

The fourth proportional to 16,709, 23,058.43 and 9,994.91 is: 13,792.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,709 : 23,058.43 = 9,994.91 : x
  2. Step 2: Convert to fraction form
    16,709/23,058.43 = 9,994.91/x
  3. Step 3: Cross multiply
    16,709x = 23,058.43 × 9,994.91
  4. Step 4: Simplify right side
    16,709x = 230,466,882.62
  5. Step 5: Solve for x
    x = 230,466,882.62/16,709
  6. Step 6: Final answer
    x = 13,792.98

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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.