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Finding the Fourth Proportional to 30,751.90, 46,127.76 and 9,693.70

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Solution

The fourth proportional to 30,751.90, 46,127.76 and 9,693.70 is: 14,540.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751.90 : 46,127.76 = 9,693.70 : x
  2. Step 2: Convert to fraction form
    30,751.90/46,127.76 = 9,693.70/x
  3. Step 3: Cross multiply
    30,751.90x = 46,127.76 × 9,693.70
  4. Step 4: Simplify right side
    30,751.90x = 447,148,667.11
  5. Step 5: Solve for x
    x = 447,148,667.11/30,751.90
  6. Step 6: Final answer
    x = 14,540.52

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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.