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Finding the Fourth Proportional to 21,008.64, 28,991.75 and 11,577

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Solution

The fourth proportional to 21,008.64, 28,991.75 and 11,577 is: 15,976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,008.64 : 28,991.75 = 11,577 : x
  2. Step 2: Convert to fraction form
    21,008.64/28,991.75 = 11,577/x
  3. Step 3: Cross multiply
    21,008.64x = 28,991.75 × 11,577
  4. Step 4: Simplify right side
    21,008.64x = 335,637,431.87
  5. Step 5: Solve for x
    x = 335,637,431.87/21,008.64
  6. Step 6: Final answer
    x = 15,976.16

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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.