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Finding the Fourth Proportional to 9,610.72, 14,396.64 and 7,411.84

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Solution

The fourth proportional to 9,610.72, 14,396.64 and 7,411.84 is: 11,102.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.72 : 14,396.64 = 7,411.84 : x
  2. Step 2: Convert to fraction form
    9,610.72/14,396.64 = 7,411.84/x
  3. Step 3: Cross multiply
    9,610.72x = 14,396.64 × 7,411.84
  4. Step 4: Simplify right side
    9,610.72x = 106,705,592.22
  5. Step 5: Solve for x
    x = 106,705,592.22/9,610.72
  6. Step 6: Final answer
    x = 11,102.77

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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.