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Finding the Fourth Proportional to 11,566.10, 15,952.95 and 7,260.44

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Solution

The fourth proportional to 11,566.10, 15,952.95 and 7,260.44 is: 10,014.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.10 : 15,952.95 = 7,260.44 : x
  2. Step 2: Convert to fraction form
    11,566.10/15,952.95 = 7,260.44/x
  3. Step 3: Cross multiply
    11,566.10x = 15,952.95 × 7,260.44
  4. Step 4: Simplify right side
    11,566.10x = 115,825,476.18
  5. Step 5: Solve for x
    x = 115,825,476.18/11,566.10
  6. Step 6: Final answer
    x = 10,014.22

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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.