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Finding the Fourth Proportional to 11,999.63, 16,561.31 and 7,283.00

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Solution

The fourth proportional to 11,999.63, 16,561.31 and 7,283.00 is: 10,051.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,999.63 : 16,561.31 = 7,283.00 : x
  2. Step 2: Convert to fraction form
    11,999.63/16,561.31 = 7,283.00/x
  3. Step 3: Cross multiply
    11,999.63x = 16,561.31 × 7,283.00
  4. Step 4: Simplify right side
    11,999.63x = 120,615,901.51
  5. Step 5: Solve for x
    x = 120,615,901.51/11,999.63
  6. Step 6: Final answer
    x = 10,051.64

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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.