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Finding the Fourth Proportional to 9,605.56, 14,407.17 and 2,586.13

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Solution

The fourth proportional to 9,605.56, 14,407.17 and 2,586.13 is: 3,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.56 : 14,407.17 = 2,586.13 : x
  2. Step 2: Convert to fraction form
    9,605.56/14,407.17 = 2,586.13/x
  3. Step 3: Cross multiply
    9,605.56x = 14,407.17 × 2,586.13
  4. Step 4: Simplify right side
    9,605.56x = 37,258,768.84
  5. Step 5: Solve for x
    x = 37,258,768.84/9,605.56
  6. Step 6: Final answer
    x = 3,878.87

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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.