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Finding the Fourth Proportional to 11,465.02, 15,824.54 and 6,991.24

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Solution

The fourth proportional to 11,465.02, 15,824.54 and 6,991.24 is: 9,649.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.02 : 15,824.54 = 6,991.24 : x
  2. Step 2: Convert to fraction form
    11,465.02/15,824.54 = 6,991.24/x
  3. Step 3: Cross multiply
    11,465.02x = 15,824.54 × 6,991.24
  4. Step 4: Simplify right side
    11,465.02x = 110,633,157.03
  5. Step 5: Solve for x
    x = 110,633,157.03/11,465.02
  6. Step 6: Final answer
    x = 9,649.63

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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.