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Finding the Fourth Proportional to 30,769.57, 46,154.36 and 9,711.74

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Solution

The fourth proportional to 30,769.57, 46,154.36 and 9,711.74 is: 14,567.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.57 : 46,154.36 = 9,711.74 : x
  2. Step 2: Convert to fraction form
    30,769.57/46,154.36 = 9,711.74/x
  3. Step 3: Cross multiply
    30,769.57x = 46,154.36 × 9,711.74
  4. Step 4: Simplify right side
    30,769.57x = 448,239,144.19
  5. Step 5: Solve for x
    x = 448,239,144.19/30,769.57
  6. Step 6: Final answer
    x = 14,567.61

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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.