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Finding the Fourth Proportional to 11,495.50, 15,863.81 and 6,527.50

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Solution

The fourth proportional to 11,495.50, 15,863.81 and 6,527.50 is: 9,007.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495.50 : 15,863.81 = 6,527.50 : x
  2. Step 2: Convert to fraction form
    11,495.50/15,863.81 = 6,527.50/x
  3. Step 3: Cross multiply
    11,495.50x = 15,863.81 × 6,527.50
  4. Step 4: Simplify right side
    11,495.50x = 103,551,019.78
  5. Step 5: Solve for x
    x = 103,551,019.78/11,495.50
  6. Step 6: Final answer
    x = 9,007.96

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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.