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Finding the Fourth Proportional to 16,058, 22,152.56 and 10,394.57

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Solution

The fourth proportional to 16,058, 22,152.56 and 10,394.57 is: 14,339.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,058 : 22,152.56 = 10,394.57 : x
  2. Step 2: Convert to fraction form
    16,058/22,152.56 = 10,394.57/x
  3. Step 3: Cross multiply
    16,058x = 22,152.56 × 10,394.57
  4. Step 4: Simplify right side
    16,058x = 230,266,283.63
  5. Step 5: Solve for x
    x = 230,266,283.63/16,058
  6. Step 6: Final answer
    x = 14,339.66

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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.