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Finding the Fourth Proportional to 8,281.48, 11,477.68 and 8,125.96

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Solution

The fourth proportional to 8,281.48, 11,477.68 and 8,125.96 is: 11,262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.48 : 11,477.68 = 8,125.96 : x
  2. Step 2: Convert to fraction form
    8,281.48/11,477.68 = 8,125.96/x
  3. Step 3: Cross multiply
    8,281.48x = 11,477.68 × 8,125.96
  4. Step 4: Simplify right side
    8,281.48x = 93,267,168.57
  5. Step 5: Solve for x
    x = 93,267,168.57/8,281.48
  6. Step 6: Final answer
    x = 11,262.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.