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Finding the Fourth Proportional to 11,641.90, 17,454.06 and 5,802.64

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Solution

The fourth proportional to 11,641.90, 17,454.06 and 5,802.64 is: 8,699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.90 : 17,454.06 = 5,802.64 : x
  2. Step 2: Convert to fraction form
    11,641.90/17,454.06 = 5,802.64/x
  3. Step 3: Cross multiply
    11,641.90x = 17,454.06 × 5,802.64
  4. Step 4: Simplify right side
    11,641.90x = 101,279,626.72
  5. Step 5: Solve for x
    x = 101,279,626.72/11,641.90
  6. Step 6: Final answer
    x = 8,699.58

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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.