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Finding the Fourth Proportional to 15,227.15, 22,837.93 and 6,905.16

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Solution

The fourth proportional to 15,227.15, 22,837.93 and 6,905.16 is: 10,356.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,227.15 : 22,837.93 = 6,905.16 : x
  2. Step 2: Convert to fraction form
    15,227.15/22,837.93 = 6,905.16/x
  3. Step 3: Cross multiply
    15,227.15x = 22,837.93 × 6,905.16
  4. Step 4: Simplify right side
    15,227.15x = 157,699,617.81
  5. Step 5: Solve for x
    x = 157,699,617.81/15,227.15
  6. Step 6: Final answer
    x = 10,356.48

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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.