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Finding the Fourth Proportional to 10,514.73, 15,794.99 and 6,356.70

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Solution

The fourth proportional to 10,514.73, 15,794.99 and 6,356.70 is: 9,548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.73 : 15,794.99 = 6,356.70 : x
  2. Step 2: Convert to fraction form
    10,514.73/15,794.99 = 6,356.70/x
  3. Step 3: Cross multiply
    10,514.73x = 15,794.99 × 6,356.70
  4. Step 4: Simplify right side
    10,514.73x = 100,403,973.45
  5. Step 5: Solve for x
    x = 100,403,973.45/10,514.73
  6. Step 6: Final answer
    x = 9,548.89

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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.