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Finding the Fourth Proportional to 11,574.96, 15,971.64 and 6,858.48

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Solution

The fourth proportional to 11,574.96, 15,971.64 and 6,858.48 is: 9,463.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.96 : 15,971.64 = 6,858.48 : x
  2. Step 2: Convert to fraction form
    11,574.96/15,971.64 = 6,858.48/x
  3. Step 3: Cross multiply
    11,574.96x = 15,971.64 × 6,858.48
  4. Step 4: Simplify right side
    11,574.96x = 109,541,173.51
  5. Step 5: Solve for x
    x = 109,541,173.51/11,574.96
  6. Step 6: Final answer
    x = 9,463.63

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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.