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Finding the Fourth Proportional to 11,953.35, 16,494.47 and 6,916.57

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Solution

The fourth proportional to 11,953.35, 16,494.47 and 6,916.57 is: 9,544.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.35 : 16,494.47 = 6,916.57 : x
  2. Step 2: Convert to fraction form
    11,953.35/16,494.47 = 6,916.57/x
  3. Step 3: Cross multiply
    11,953.35x = 16,494.47 × 6,916.57
  4. Step 4: Simplify right side
    11,953.35x = 114,085,106.49
  5. Step 5: Solve for x
    x = 114,085,106.49/11,953.35
  6. Step 6: Final answer
    x = 9,544.20

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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.