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Finding the Fourth Proportional to 12,024.63, 16,593.66 and 6,719.32

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Solution

The fourth proportional to 12,024.63, 16,593.66 and 6,719.32 is: 9,272.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024.63 : 16,593.66 = 6,719.32 : x
  2. Step 2: Convert to fraction form
    12,024.63/16,593.66 = 6,719.32/x
  3. Step 3: Cross multiply
    12,024.63x = 16,593.66 × 6,719.32
  4. Step 4: Simplify right side
    12,024.63x = 111,498,111.51
  5. Step 5: Solve for x
    x = 111,498,111.51/12,024.63
  6. Step 6: Final answer
    x = 9,272.48

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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.