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Finding the Fourth Proportional to 7,175.16, 10,762.92 and 2,558.16

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Solution

The fourth proportional to 7,175.16, 10,762.92 and 2,558.16 is: 3,837.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.16 : 10,762.92 = 2,558.16 : x
  2. Step 2: Convert to fraction form
    7,175.16/10,762.92 = 2,558.16/x
  3. Step 3: Cross multiply
    7,175.16x = 10,762.92 × 2,558.16
  4. Step 4: Simplify right side
    7,175.16x = 27,533,271.43
  5. Step 5: Solve for x
    x = 27,533,271.43/7,175.16
  6. Step 6: Final answer
    x = 3,837.30

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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.