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Finding the Fourth Proportional to 30,574.46, 45,855.81 and 9,514.76

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Solution

The fourth proportional to 30,574.46, 45,855.81 and 9,514.76 is: 14,270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,574.46 : 45,855.81 = 9,514.76 : x
  2. Step 2: Convert to fraction form
    30,574.46/45,855.81 = 9,514.76/x
  3. Step 3: Cross multiply
    30,574.46x = 45,855.81 × 9,514.76
  4. Step 4: Simplify right side
    30,574.46x = 436,307,005.12
  5. Step 5: Solve for x
    x = 436,307,005.12/30,574.46
  6. Step 6: Final answer
    x = 14,270.31

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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.