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Finding the Fourth Proportional to 11,703.75, 16,159.64 and 7,233.63

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Solution

The fourth proportional to 11,703.75, 16,159.64 and 7,233.63 is: 9,987.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,703.75 : 16,159.64 = 7,233.63 : x
  2. Step 2: Convert to fraction form
    11,703.75/16,159.64 = 7,233.63/x
  3. Step 3: Cross multiply
    11,703.75x = 16,159.64 × 7,233.63
  4. Step 4: Simplify right side
    11,703.75x = 116,892,820.53
  5. Step 5: Solve for x
    x = 116,892,820.53/11,703.75
  6. Step 6: Final answer
    x = 9,987.64

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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.