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Finding the Fourth Proportional to 10,754.42, 16,143.15 and 8,461.94

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Solution

The fourth proportional to 10,754.42, 16,143.15 and 8,461.94 is: 12,701.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.42 : 16,143.15 = 8,461.94 : x
  2. Step 2: Convert to fraction form
    10,754.42/16,143.15 = 8,461.94/x
  3. Step 3: Cross multiply
    10,754.42x = 16,143.15 × 8,461.94
  4. Step 4: Simplify right side
    10,754.42x = 136,602,366.71
  5. Step 5: Solve for x
    x = 136,602,366.71/10,754.42
  6. Step 6: Final answer
    x = 12,701.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.