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Finding the Fourth Proportional to 13,057.10, 18,020.24 and 7,752.24

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Solution

The fourth proportional to 13,057.10, 18,020.24 and 7,752.24 is: 10,698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.10 : 18,020.24 = 7,752.24 : x
  2. Step 2: Convert to fraction form
    13,057.10/18,020.24 = 7,752.24/x
  3. Step 3: Cross multiply
    13,057.10x = 18,020.24 × 7,752.24
  4. Step 4: Simplify right side
    13,057.10x = 139,697,215.65
  5. Step 5: Solve for x
    x = 139,697,215.65/13,057.10
  6. Step 6: Final answer
    x = 10,698.95

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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.