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Finding the Fourth Proportional to 11,594.01, 15,999.73 and 6,558.12

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Solution

The fourth proportional to 11,594.01, 15,999.73 and 6,558.12 is: 9,050.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.01 : 15,999.73 = 6,558.12 : x
  2. Step 2: Convert to fraction form
    11,594.01/15,999.73 = 6,558.12/x
  3. Step 3: Cross multiply
    11,594.01x = 15,999.73 × 6,558.12
  4. Step 4: Simplify right side
    11,594.01x = 104,928,149.31
  5. Step 5: Solve for x
    x = 104,928,149.31/11,594.01
  6. Step 6: Final answer
    x = 9,050.21

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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.