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Finding the Fourth Proportional to 30,813.55, 46,225.96 and 9,758.88

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Solution

The fourth proportional to 30,813.55, 46,225.96 and 9,758.88 is: 14,640.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,813.55 : 46,225.96 = 9,758.88 : x
  2. Step 2: Convert to fraction form
    30,813.55/46,225.96 = 9,758.88/x
  3. Step 3: Cross multiply
    30,813.55x = 46,225.96 × 9,758.88
  4. Step 4: Simplify right side
    30,813.55x = 451,113,572.13
  5. Step 5: Solve for x
    x = 451,113,572.13/30,813.55
  6. Step 6: Final answer
    x = 14,640.11

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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.