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Finding the Fourth Proportional to 16,560, 22,846.72 and 9,481.60

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Solution

The fourth proportional to 16,560, 22,846.72 and 9,481.60 is: 13,081.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,560 : 22,846.72 = 9,481.60 : x
  2. Step 2: Convert to fraction form
    16,560/22,846.72 = 9,481.60/x
  3. Step 3: Cross multiply
    16,560x = 22,846.72 × 9,481.60
  4. Step 4: Simplify right side
    16,560x = 216,623,460.35
  5. Step 5: Solve for x
    x = 216,623,460.35/16,560
  6. Step 6: Final answer
    x = 13,081.13

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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.