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Finding the Fourth Proportional to 11,486.16, 15,849 and 7,292.52

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Solution

The fourth proportional to 11,486.16, 15,849 and 7,292.52 is: 10,062.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.16 : 15,849 = 7,292.52 : x
  2. Step 2: Convert to fraction form
    11,486.16/15,849 = 7,292.52/x
  3. Step 3: Cross multiply
    11,486.16x = 15,849 × 7,292.52
  4. Step 4: Simplify right side
    11,486.16x = 115,579,149.48
  5. Step 5: Solve for x
    x = 115,579,149.48/11,486.16
  6. Step 6: Final answer
    x = 10,062.47

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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.