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Finding the Fourth Proportional to 9,829.40, 14,727.90 and 9,246.20

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Solution

The fourth proportional to 9,829.40, 14,727.90 and 9,246.20 is: 13,854.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.40 : 14,727.90 = 9,246.20 : x
  2. Step 2: Convert to fraction form
    9,829.40/14,727.90 = 9,246.20/x
  3. Step 3: Cross multiply
    9,829.40x = 14,727.90 × 9,246.20
  4. Step 4: Simplify right side
    9,829.40x = 136,177,108.98
  5. Step 5: Solve for x
    x = 136,177,108.98/9,829.40
  6. Step 6: Final answer
    x = 13,854.06

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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.