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Finding the Fourth Proportional to 15,073.92, 22,623.36 and 7,683.84

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Solution

The fourth proportional to 15,073.92, 22,623.36 and 7,683.84 is: 11,532.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,073.92 : 22,623.36 = 7,683.84 : x
  2. Step 2: Convert to fraction form
    15,073.92/22,623.36 = 7,683.84/x
  3. Step 3: Cross multiply
    15,073.92x = 22,623.36 × 7,683.84
  4. Step 4: Simplify right side
    15,073.92x = 173,834,278.50
  5. Step 5: Solve for x
    x = 173,834,278.50/15,073.92
  6. Step 6: Final answer
    x = 11,532.12

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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.