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Finding the Fourth Proportional to 11,953.12, 16,502.72 and 7,706.24

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Solution

The fourth proportional to 11,953.12, 16,502.72 and 7,706.24 is: 10,639.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.12 : 16,502.72 = 7,706.24 : x
  2. Step 2: Convert to fraction form
    11,953.12/16,502.72 = 7,706.24/x
  3. Step 3: Cross multiply
    11,953.12x = 16,502.72 × 7,706.24
  4. Step 4: Simplify right side
    11,953.12x = 127,173,920.97
  5. Step 5: Solve for x
    x = 127,173,920.97/11,953.12
  6. Step 6: Final answer
    x = 10,639.39

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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.