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Finding the Fourth Proportional to 11,742.17, 16,203.99 and 6,364.47

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Solution

The fourth proportional to 11,742.17, 16,203.99 and 6,364.47 is: 8,782.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742.17 : 16,203.99 = 6,364.47 : x
  2. Step 2: Convert to fraction form
    11,742.17/16,203.99 = 6,364.47/x
  3. Step 3: Cross multiply
    11,742.17x = 16,203.99 × 6,364.47
  4. Step 4: Simplify right side
    11,742.17x = 103,129,808.24
  5. Step 5: Solve for x
    x = 103,129,808.24/11,742.17
  6. Step 6: Final answer
    x = 8,782.86

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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.