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Finding the Fourth Proportional to 30,725.63, 46,095.75 and 9,949.13

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Solution

The fourth proportional to 30,725.63, 46,095.75 and 9,949.13 is: 14,926.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,725.63 : 46,095.75 = 9,949.13 : x
  2. Step 2: Convert to fraction form
    30,725.63/46,095.75 = 9,949.13/x
  3. Step 3: Cross multiply
    30,725.63x = 46,095.75 × 9,949.13
  4. Step 4: Simplify right side
    30,725.63x = 458,612,378.72
  5. Step 5: Solve for x
    x = 458,612,378.72/30,725.63
  6. Step 6: Final answer
    x = 14,926.06

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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.