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Finding the Fourth Proportional to 9,610.56, 14,416.16 and 4,064.09

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Solution

The fourth proportional to 9,610.56, 14,416.16 and 4,064.09 is: 6,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.56 : 14,416.16 = 4,064.09 : x
  2. Step 2: Convert to fraction form
    9,610.56/14,416.16 = 4,064.09/x
  3. Step 3: Cross multiply
    9,610.56x = 14,416.16 × 4,064.09
  4. Step 4: Simplify right side
    9,610.56x = 58,588,479.29
  5. Step 5: Solve for x
    x = 58,588,479.29/9,610.56
  6. Step 6: Final answer
    x = 6,096.26

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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.