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Finding the Fourth Proportional to 4,381.60, 6,514.76 and 4,381.60

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Solution

The fourth proportional to 4,381.60, 6,514.76 and 4,381.60 is: 6,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381.60 : 6,514.76 = 4,381.60 : x
  2. Step 2: Convert to fraction form
    4,381.60/6,514.76 = 4,381.60/x
  3. Step 3: Cross multiply
    4,381.60x = 6,514.76 × 4,381.60
  4. Step 4: Simplify right side
    4,381.60x = 28,545,072.42
  5. Step 5: Solve for x
    x = 28,545,072.42/4,381.60
  6. Step 6: Final answer
    x = 6,514.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.