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Finding the Fourth Proportional to 9,159.69, 13,742.27 and 6,496.41

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Solution

The fourth proportional to 9,159.69, 13,742.27 and 6,496.41 is: 9,746.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.69 : 13,742.27 = 6,496.41 : x
  2. Step 2: Convert to fraction form
    9,159.69/13,742.27 = 6,496.41/x
  3. Step 3: Cross multiply
    9,159.69x = 13,742.27 × 6,496.41
  4. Step 4: Simplify right side
    9,159.69x = 89,275,420.25
  5. Step 5: Solve for x
    x = 89,275,420.25/9,159.69
  6. Step 6: Final answer
    x = 9,746.55

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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.