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Finding the Fourth Proportional to 15,062.16, 22,560.48 and 9,201

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Solution

The fourth proportional to 15,062.16, 22,560.48 and 9,201 is: 13,781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,062.16 : 22,560.48 = 9,201 : x
  2. Step 2: Convert to fraction form
    15,062.16/22,560.48 = 9,201/x
  3. Step 3: Cross multiply
    15,062.16x = 22,560.48 × 9,201
  4. Step 4: Simplify right side
    15,062.16x = 207,578,976.48
  5. Step 5: Solve for x
    x = 207,578,976.48/15,062.16
  6. Step 6: Final answer
    x = 13,781.49

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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.