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Finding the Fourth Proportional to 11,357.64, 15,673.66 and 6,641

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Solution

The fourth proportional to 11,357.64, 15,673.66 and 6,641 is: 9,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.64 : 15,673.66 = 6,641 : x
  2. Step 2: Convert to fraction form
    11,357.64/15,673.66 = 6,641/x
  3. Step 3: Cross multiply
    11,357.64x = 15,673.66 × 6,641
  4. Step 4: Simplify right side
    11,357.64x = 104,088,776.06
  5. Step 5: Solve for x
    x = 104,088,776.06/11,357.64
  6. Step 6: Final answer
    x = 9,164.65

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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.