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Finding the Fourth Proportional to 16,085.95, 22,198.01 and 8,916.16

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Solution

The fourth proportional to 16,085.95, 22,198.01 and 8,916.16 is: 12,303.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085.95 : 22,198.01 = 8,916.16 : x
  2. Step 2: Convert to fraction form
    16,085.95/22,198.01 = 8,916.16/x
  3. Step 3: Cross multiply
    16,085.95x = 22,198.01 × 8,916.16
  4. Step 4: Simplify right side
    16,085.95x = 197,921,008.84
  5. Step 5: Solve for x
    x = 197,921,008.84/16,085.95
  6. Step 6: Final answer
    x = 12,303.97

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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.