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Finding the Fourth Proportional to 9,595.44, 13,234.86 and 6,407.15

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Solution

The fourth proportional to 9,595.44, 13,234.86 and 6,407.15 is: 8,837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,595.44 : 13,234.86 = 6,407.15 : x
  2. Step 2: Convert to fraction form
    9,595.44/13,234.86 = 6,407.15/x
  3. Step 3: Cross multiply
    9,595.44x = 13,234.86 × 6,407.15
  4. Step 4: Simplify right side
    9,595.44x = 84,797,667.07
  5. Step 5: Solve for x
    x = 84,797,667.07/9,595.44
  6. Step 6: Final answer
    x = 8,837.29

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Half scale
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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.