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Finding the Fourth Proportional to 9,624.70, 14,415.45 and 7,896.70

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Solution

The fourth proportional to 9,624.70, 14,415.45 and 7,896.70 is: 11,827.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.70 : 14,415.45 = 7,896.70 : x
  2. Step 2: Convert to fraction form
    9,624.70/14,415.45 = 7,896.70/x
  3. Step 3: Cross multiply
    9,624.70x = 14,415.45 × 7,896.70
  4. Step 4: Simplify right side
    9,624.70x = 113,834,484.02
  5. Step 5: Solve for x
    x = 113,834,484.02/9,624.70
  6. Step 6: Final answer
    x = 11,827.33

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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.