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Finding the Fourth Proportional to 11,641, 16,065.54 and 6,673.96

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Solution

The fourth proportional to 11,641, 16,065.54 and 6,673.96 is: 9,210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641 : 16,065.54 = 6,673.96 : x
  2. Step 2: Convert to fraction form
    11,641/16,065.54 = 6,673.96/x
  3. Step 3: Cross multiply
    11,641x = 16,065.54 × 6,673.96
  4. Step 4: Simplify right side
    11,641x = 107,220,771.34
  5. Step 5: Solve for x
    x = 107,220,771.34/11,641
  6. Step 6: Final answer
    x = 9,210.62

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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.