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Finding the Fourth Proportional to 10,357, 15,535.42 and 6,198.16

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Solution

The fourth proportional to 10,357, 15,535.42 and 6,198.16 is: 9,297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357 : 15,535.42 = 6,198.16 : x
  2. Step 2: Convert to fraction form
    10,357/15,535.42 = 6,198.16/x
  3. Step 3: Cross multiply
    10,357x = 15,535.42 × 6,198.16
  4. Step 4: Simplify right side
    10,357x = 96,291,018.83
  5. Step 5: Solve for x
    x = 96,291,018.83/10,357
  6. Step 6: Final answer
    x = 9,297.19

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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.