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Finding the Fourth Proportional to 9,758.47, 13,435.45 and 8,516.47

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Solution

The fourth proportional to 9,758.47, 13,435.45 and 8,516.47 is: 11,725.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.47 : 13,435.45 = 8,516.47 : x
  2. Step 2: Convert to fraction form
    9,758.47/13,435.45 = 8,516.47/x
  3. Step 3: Cross multiply
    9,758.47x = 13,435.45 × 8,516.47
  4. Step 4: Simplify right side
    9,758.47x = 114,422,606.86
  5. Step 5: Solve for x
    x = 114,422,606.86/9,758.47
  6. Step 6: Final answer
    x = 11,725.47

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Half scale
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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.