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Finding the Fourth Proportional to 8,416, 11,614.32 and 4,690.24

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Solution

The fourth proportional to 8,416, 11,614.32 and 4,690.24 is: 6,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416 : 11,614.32 = 4,690.24 : x
  2. Step 2: Convert to fraction form
    8,416/11,614.32 = 4,690.24/x
  3. Step 3: Cross multiply
    8,416x = 11,614.32 × 4,690.24
  4. Step 4: Simplify right side
    8,416x = 54,473,948.24
  5. Step 5: Solve for x
    x = 54,473,948.24/8,416
  6. Step 6: Final answer
    x = 6,472.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.