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Finding the Fourth Proportional to 9,246.50, 12,765.82 and 6,019.40

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Solution

The fourth proportional to 9,246.50, 12,765.82 and 6,019.40 is: 8,310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.50 : 12,765.82 = 6,019.40 : x
  2. Step 2: Convert to fraction form
    9,246.50/12,765.82 = 6,019.40/x
  3. Step 3: Cross multiply
    9,246.50x = 12,765.82 × 6,019.40
  4. Step 4: Simplify right side
    9,246.50x = 76,842,576.91
  5. Step 5: Solve for x
    x = 76,842,576.91/9,246.50
  6. Step 6: Final answer
    x = 8,310.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.