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Finding the Fourth Proportional to 31,646.84, 47,469.84 and 9,460.40

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Solution

The fourth proportional to 31,646.84, 47,469.84 and 9,460.40 is: 14,190.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,646.84 : 47,469.84 = 9,460.40 : x
  2. Step 2: Convert to fraction form
    31,646.84/47,469.84 = 9,460.40/x
  3. Step 3: Cross multiply
    31,646.84x = 47,469.84 × 9,460.40
  4. Step 4: Simplify right side
    31,646.84x = 449,083,674.34
  5. Step 5: Solve for x
    x = 449,083,674.34/31,646.84
  6. Step 6: Final answer
    x = 14,190.47

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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.