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Finding the Fourth Proportional to 9,672.87, 14,511.40 and 3,009.24

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Solution

The fourth proportional to 9,672.87, 14,511.40 and 3,009.24 is: 4,514.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.87 : 14,511.40 = 3,009.24 : x
  2. Step 2: Convert to fraction form
    9,672.87/14,511.40 = 3,009.24/x
  3. Step 3: Cross multiply
    9,672.87x = 14,511.40 × 3,009.24
  4. Step 4: Simplify right side
    9,672.87x = 43,668,343.52
  5. Step 5: Solve for x
    x = 43,668,343.52/9,672.87
  6. Step 6: Final answer
    x = 4,514.52

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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.