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Finding the Fourth Proportional to 10,589.58, 15,886.99 and 7,475.68

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Solution

The fourth proportional to 10,589.58, 15,886.99 and 7,475.68 is: 11,215.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.58 : 15,886.99 = 7,475.68 : x
  2. Step 2: Convert to fraction form
    10,589.58/15,886.99 = 7,475.68/x
  3. Step 3: Cross multiply
    10,589.58x = 15,886.99 × 7,475.68
  4. Step 4: Simplify right side
    10,589.58x = 118,766,053.40
  5. Step 5: Solve for x
    x = 118,766,053.40/10,589.58
  6. Step 6: Final answer
    x = 11,215.37

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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.