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Finding the Fourth Proportional to 16,587, 22,891.74 and 9,512.76

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Solution

The fourth proportional to 16,587, 22,891.74 and 9,512.76 is: 13,128.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,587 : 22,891.74 = 9,512.76 : x
  2. Step 2: Convert to fraction form
    16,587/22,891.74 = 9,512.76/x
  3. Step 3: Cross multiply
    16,587x = 22,891.74 × 9,512.76
  4. Step 4: Simplify right side
    16,587x = 217,763,628.60
  5. Step 5: Solve for x
    x = 217,763,628.60/16,587
  6. Step 6: Final answer
    x = 13,128.57

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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.