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Finding the Fourth Proportional to 18,752.56, 25,878.42 and 10,369

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Solution

The fourth proportional to 18,752.56, 25,878.42 and 10,369 is: 14,309.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,752.56 : 25,878.42 = 10,369 : x
  2. Step 2: Convert to fraction form
    18,752.56/25,878.42 = 10,369/x
  3. Step 3: Cross multiply
    18,752.56x = 25,878.42 × 10,369
  4. Step 4: Simplify right side
    18,752.56x = 268,333,336.98
  5. Step 5: Solve for x
    x = 268,333,336.98/18,752.56
  6. Step 6: Final answer
    x = 14,309.16

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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.