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Finding the Fourth Proportional to 10,970.44, 16,445.94 and 8,384.92

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Solution

The fourth proportional to 10,970.44, 16,445.94 and 8,384.92 is: 12,569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.44 : 16,445.94 = 8,384.92 : x
  2. Step 2: Convert to fraction form
    10,970.44/16,445.94 = 8,384.92/x
  3. Step 3: Cross multiply
    10,970.44x = 16,445.94 × 8,384.92
  4. Step 4: Simplify right side
    10,970.44x = 137,897,891.22
  5. Step 5: Solve for x
    x = 137,897,891.22/10,970.44
  6. Step 6: Final answer
    x = 12,569.95

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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.