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Finding the Fourth Proportional to 11,624.96, 16,044 and 7,445.36

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Solution

The fourth proportional to 11,624.96, 16,044 and 7,445.36 is: 10,275.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.96 : 16,044 = 7,445.36 : x
  2. Step 2: Convert to fraction form
    11,624.96/16,044 = 7,445.36/x
  3. Step 3: Cross multiply
    11,624.96x = 16,044 × 7,445.36
  4. Step 4: Simplify right side
    11,624.96x = 119,453,355.84
  5. Step 5: Solve for x
    x = 119,453,355.84/11,624.96
  6. Step 6: Final answer
    x = 10,275.59

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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.