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Finding the Fourth Proportional to 8,390.58, 11,576.58 and 5,407.44

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Solution

The fourth proportional to 8,390.58, 11,576.58 and 5,407.44 is: 7,460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.58 : 11,576.58 = 5,407.44 : x
  2. Step 2: Convert to fraction form
    8,390.58/11,576.58 = 5,407.44/x
  3. Step 3: Cross multiply
    8,390.58x = 11,576.58 × 5,407.44
  4. Step 4: Simplify right side
    8,390.58x = 62,599,661.76
  5. Step 5: Solve for x
    x = 62,599,661.76/8,390.58
  6. Step 6: Final answer
    x = 7,460.71

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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.