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Finding the Fourth Proportional to 11,916.84, 16,444.02 and 6,611.52

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Solution

The fourth proportional to 11,916.84, 16,444.02 and 6,611.52 is: 9,123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.84 : 16,444.02 = 6,611.52 : x
  2. Step 2: Convert to fraction form
    11,916.84/16,444.02 = 6,611.52/x
  3. Step 3: Cross multiply
    11,916.84x = 16,444.02 × 6,611.52
  4. Step 4: Simplify right side
    11,916.84x = 108,719,967.11
  5. Step 5: Solve for x
    x = 108,719,967.11/11,916.84
  6. Step 6: Final answer
    x = 9,123.22

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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.