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Finding the Fourth Proportional to 30,913.45, 46,373.81 and 9,846.12

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Solution

The fourth proportional to 30,913.45, 46,373.81 and 9,846.12 is: 14,770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,913.45 : 46,373.81 = 9,846.12 : x
  2. Step 2: Convert to fraction form
    30,913.45/46,373.81 = 9,846.12/x
  3. Step 3: Cross multiply
    30,913.45x = 46,373.81 × 9,846.12
  4. Step 4: Simplify right side
    30,913.45x = 456,602,098.12
  5. Step 5: Solve for x
    x = 456,602,098.12/30,913.45
  6. Step 6: Final answer
    x = 14,770.34

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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.