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Finding the Fourth Proportional to 9,614.80, 14,393.40 and 8,462.80

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Solution

The fourth proportional to 9,614.80, 14,393.40 and 8,462.80 is: 12,668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.80 : 14,393.40 = 8,462.80 : x
  2. Step 2: Convert to fraction form
    9,614.80/14,393.40 = 8,462.80/x
  3. Step 3: Cross multiply
    9,614.80x = 14,393.40 × 8,462.80
  4. Step 4: Simplify right side
    9,614.80x = 121,808,465.52
  5. Step 5: Solve for x
    x = 121,808,465.52/9,614.80
  6. Step 6: Final answer
    x = 12,668.85

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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.