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Finding the Fourth Proportional to 16,573.50, 22,871.48 and 9,121.50

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Solution

The fourth proportional to 16,573.50, 22,871.48 and 9,121.50 is: 12,587.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,573.50 : 22,871.48 = 9,121.50 : x
  2. Step 2: Convert to fraction form
    16,573.50/22,871.48 = 9,121.50/x
  3. Step 3: Cross multiply
    16,573.50x = 22,871.48 × 9,121.50
  4. Step 4: Simplify right side
    16,573.50x = 208,622,159.21
  5. Step 5: Solve for x
    x = 208,622,159.21/16,573.50
  6. Step 6: Final answer
    x = 12,587.69

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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.