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Finding the Fourth Proportional to 30,514.78, 45,773.39 and 9,457.01

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Solution

The fourth proportional to 30,514.78, 45,773.39 and 9,457.01 is: 14,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,514.78 : 45,773.39 = 9,457.01 : x
  2. Step 2: Convert to fraction form
    30,514.78/45,773.39 = 9,457.01/x
  3. Step 3: Cross multiply
    30,514.78x = 45,773.39 × 9,457.01
  4. Step 4: Simplify right side
    30,514.78x = 432,879,406.96
  5. Step 5: Solve for x
    x = 432,879,406.96/30,514.78
  6. Step 6: Final answer
    x = 14,185.89

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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.