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Finding the Fourth Proportional to 16,560.16, 22,853.00 and 9,486.61

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Solution

The fourth proportional to 16,560.16, 22,853.00 and 9,486.61 is: 13,091.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,560.16 : 22,853.00 = 9,486.61 : x
  2. Step 2: Convert to fraction form
    16,560.16/22,853.00 = 9,486.61/x
  3. Step 3: Cross multiply
    16,560.16x = 22,853.00 × 9,486.61
  4. Step 4: Simplify right side
    16,560.16x = 216,797,336.63
  5. Step 5: Solve for x
    x = 216,797,336.63/16,560.16
  6. Step 6: Final answer
    x = 13,091.50

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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.