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Finding the Fourth Proportional to 15,297.57, 22,952.48 and 6,981.48

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Solution

The fourth proportional to 15,297.57, 22,952.48 and 6,981.48 is: 10,475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,297.57 : 22,952.48 = 6,981.48 : x
  2. Step 2: Convert to fraction form
    15,297.57/22,952.48 = 6,981.48/x
  3. Step 3: Cross multiply
    15,297.57x = 22,952.48 × 6,981.48
  4. Step 4: Simplify right side
    15,297.57x = 160,242,245.16
  5. Step 5: Solve for x
    x = 160,242,245.16/15,297.57
  6. Step 6: Final answer
    x = 10,475.01

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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.