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Finding the Fourth Proportional to 11,594.70, 17,360.89 and 9,539.51

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Solution

The fourth proportional to 11,594.70, 17,360.89 and 9,539.51 is: 14,283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.70 : 17,360.89 = 9,539.51 : x
  2. Step 2: Convert to fraction form
    11,594.70/17,360.89 = 9,539.51/x
  3. Step 3: Cross multiply
    11,594.70x = 17,360.89 × 9,539.51
  4. Step 4: Simplify right side
    11,594.70x = 165,614,273.11
  5. Step 5: Solve for x
    x = 165,614,273.11/11,594.70
  6. Step 6: Final answer
    x = 14,283.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.