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Finding the Fourth Proportional to 11,462.16, 17,209.08 and 5,920.08

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Solution

The fourth proportional to 11,462.16, 17,209.08 and 5,920.08 is: 8,888.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.16 : 17,209.08 = 5,920.08 : x
  2. Step 2: Convert to fraction form
    11,462.16/17,209.08 = 5,920.08/x
  3. Step 3: Cross multiply
    11,462.16x = 17,209.08 × 5,920.08
  4. Step 4: Simplify right side
    11,462.16x = 101,879,130.33
  5. Step 5: Solve for x
    x = 101,879,130.33/11,462.16
  6. Step 6: Final answer
    x = 8,888.30

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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.