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Finding the Fourth Proportional to 19,701.40, 29,546.90 and 9,833.40

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Solution

The fourth proportional to 19,701.40, 29,546.90 and 9,833.40 is: 14,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,701.40 : 29,546.90 = 9,833.40 : x
  2. Step 2: Convert to fraction form
    19,701.40/29,546.90 = 9,833.40/x
  3. Step 3: Cross multiply
    19,701.40x = 29,546.90 × 9,833.40
  4. Step 4: Simplify right side
    19,701.40x = 290,546,486.46
  5. Step 5: Solve for x
    x = 290,546,486.46/19,701.40
  6. Step 6: Final answer
    x = 14,747.50

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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.