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Finding the Fourth Proportional to 16,853, 25,278.46 and 5,165.32

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Solution

The fourth proportional to 16,853, 25,278.46 and 5,165.32 is: 7,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853 : 25,278.46 = 5,165.32 : x
  2. Step 2: Convert to fraction form
    16,853/25,278.46 = 5,165.32/x
  3. Step 3: Cross multiply
    16,853x = 25,278.46 × 5,165.32
  4. Step 4: Simplify right side
    16,853x = 130,571,335.01
  5. Step 5: Solve for x
    x = 130,571,335.01/16,853
  6. Step 6: Final answer
    x = 7,747.66

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.