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Finding the Fourth Proportional to 30,769.75, 46,159.08 and 9,702.67

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Solution

The fourth proportional to 30,769.75, 46,159.08 and 9,702.67 is: 14,555.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.75 : 46,159.08 = 9,702.67 : x
  2. Step 2: Convert to fraction form
    30,769.75/46,159.08 = 9,702.67/x
  3. Step 3: Cross multiply
    30,769.75x = 46,159.08 × 9,702.67
  4. Step 4: Simplify right side
    30,769.75x = 447,866,320.74
  5. Step 5: Solve for x
    x = 447,866,320.74/30,769.75
  6. Step 6: Final answer
    x = 14,555.41

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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.