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Finding the Fourth Proportional to 9,776.62, 14,662.03 and 4,228.62

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Solution

The fourth proportional to 9,776.62, 14,662.03 and 4,228.62 is: 6,341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.62 : 14,662.03 = 4,228.62 : x
  2. Step 2: Convert to fraction form
    9,776.62/14,662.03 = 4,228.62/x
  3. Step 3: Cross multiply
    9,776.62x = 14,662.03 × 4,228.62
  4. Step 4: Simplify right side
    9,776.62x = 62,000,153.30
  5. Step 5: Solve for x
    x = 62,000,153.30/9,776.62
  6. Step 6: Final answer
    x = 6,341.68

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1.5x scale

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.