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Finding the Fourth Proportional to 16,563.76, 22,858 and 9,111.76

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Solution

The fourth proportional to 16,563.76, 22,858 and 9,111.76 is: 12,574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563.76 : 22,858 = 9,111.76 : x
  2. Step 2: Convert to fraction form
    16,563.76/22,858 = 9,111.76/x
  3. Step 3: Cross multiply
    16,563.76x = 22,858 × 9,111.76
  4. Step 4: Simplify right side
    16,563.76x = 208,276,610.08
  5. Step 5: Solve for x
    x = 208,276,610.08/16,563.76
  6. Step 6: Final answer
    x = 12,574.23

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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.