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Finding the Fourth Proportional to 9,575.58, 14,358.51 and 4,377

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Solution

The fourth proportional to 9,575.58, 14,358.51 and 4,377 is: 6,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.58 : 14,358.51 = 4,377 : x
  2. Step 2: Convert to fraction form
    9,575.58/14,358.51 = 4,377/x
  3. Step 3: Cross multiply
    9,575.58x = 14,358.51 × 4,377
  4. Step 4: Simplify right side
    9,575.58x = 62,847,198.27
  5. Step 5: Solve for x
    x = 62,847,198.27/9,575.58
  6. Step 6: Final answer
    x = 6,563.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.