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Finding the Fourth Proportional to 9,305.75, 12,826.96 and 7,624.19

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Solution

The fourth proportional to 9,305.75, 12,826.96 and 7,624.19 is: 10,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.75 : 12,826.96 = 7,624.19 : x
  2. Step 2: Convert to fraction form
    9,305.75/12,826.96 = 7,624.19/x
  3. Step 3: Cross multiply
    9,305.75x = 12,826.96 × 7,624.19
  4. Step 4: Simplify right side
    9,305.75x = 97,795,193.17
  5. Step 5: Solve for x
    x = 97,795,193.17/9,305.75
  6. Step 6: Final answer
    x = 10,509.11

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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.