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Finding the Fourth Proportional to 9,662.80, 14,488.80 and 4,462.24

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Solution

The fourth proportional to 9,662.80, 14,488.80 and 4,462.24 is: 6,690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.80 : 14,488.80 = 4,462.24 : x
  2. Step 2: Convert to fraction form
    9,662.80/14,488.80 = 4,462.24/x
  3. Step 3: Cross multiply
    9,662.80x = 14,488.80 × 4,462.24
  4. Step 4: Simplify right side
    9,662.80x = 64,652,502.91
  5. Step 5: Solve for x
    x = 64,652,502.91/9,662.80
  6. Step 6: Final answer
    x = 6,690.87

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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.