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Finding the Fourth Proportional to 8,974.74, 13,464.86 and 4,595.30

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Solution

The fourth proportional to 8,974.74, 13,464.86 and 4,595.30 is: 6,894.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.74 : 13,464.86 = 4,595.30 : x
  2. Step 2: Convert to fraction form
    8,974.74/13,464.86 = 4,595.30/x
  3. Step 3: Cross multiply
    8,974.74x = 13,464.86 × 4,595.30
  4. Step 4: Simplify right side
    8,974.74x = 61,874,980.86
  5. Step 5: Solve for x
    x = 61,874,980.86/8,974.74
  6. Step 6: Final answer
    x = 6,894.35

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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.