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Finding the Fourth Proportional to 11,632.50, 16,046.01 and 6,916.50

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Solution

The fourth proportional to 11,632.50, 16,046.01 and 6,916.50 is: 9,540.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.50 : 16,046.01 = 6,916.50 : x
  2. Step 2: Convert to fraction form
    11,632.50/16,046.01 = 6,916.50/x
  3. Step 3: Cross multiply
    11,632.50x = 16,046.01 × 6,916.50
  4. Step 4: Simplify right side
    11,632.50x = 110,982,228.17
  5. Step 5: Solve for x
    x = 110,982,228.17/11,632.50
  6. Step 6: Final answer
    x = 9,540.70

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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.