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Finding the Fourth Proportional to 16,376.76, 22,600 and 9,303.57

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Solution

The fourth proportional to 16,376.76, 22,600 and 9,303.57 is: 12,838.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,376.76 : 22,600 = 9,303.57 : x
  2. Step 2: Convert to fraction form
    16,376.76/22,600 = 9,303.57/x
  3. Step 3: Cross multiply
    16,376.76x = 22,600 × 9,303.57
  4. Step 4: Simplify right side
    16,376.76x = 210,260,682
  5. Step 5: Solve for x
    x = 210,260,682/16,376.76
  6. Step 6: Final answer
    x = 12,838.97

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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.