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Finding the Fourth Proportional to 11,347.64, 15,659.34 and 6,635

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Solution

The fourth proportional to 11,347.64, 15,659.34 and 6,635 is: 9,156.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.64 : 15,659.34 = 6,635 : x
  2. Step 2: Convert to fraction form
    11,347.64/15,659.34 = 6,635/x
  3. Step 3: Cross multiply
    11,347.64x = 15,659.34 × 6,635
  4. Step 4: Simplify right side
    11,347.64x = 103,899,720.90
  5. Step 5: Solve for x
    x = 103,899,720.90/11,347.64
  6. Step 6: Final answer
    x = 9,156.06

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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.