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Finding the Fourth Proportional to 10,651.44, 14,684.64 and 7,460.42

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Solution

The fourth proportional to 10,651.44, 14,684.64 and 7,460.42 is: 10,285.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.44 : 14,684.64 = 7,460.42 : x
  2. Step 2: Convert to fraction form
    10,651.44/14,684.64 = 7,460.42/x
  3. Step 3: Cross multiply
    10,651.44x = 14,684.64 × 7,460.42
  4. Step 4: Simplify right side
    10,651.44x = 109,553,581.95
  5. Step 5: Solve for x
    x = 109,553,581.95/10,651.44
  6. Step 6: Final answer
    x = 10,285.33

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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.