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Finding the Fourth Proportional to 15,223.50, 22,838.13 and 7,015.50

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Solution

The fourth proportional to 15,223.50, 22,838.13 and 7,015.50 is: 10,524.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,223.50 : 22,838.13 = 7,015.50 : x
  2. Step 2: Convert to fraction form
    15,223.50/22,838.13 = 7,015.50/x
  3. Step 3: Cross multiply
    15,223.50x = 22,838.13 × 7,015.50
  4. Step 4: Simplify right side
    15,223.50x = 160,220,901.02
  5. Step 5: Solve for x
    x = 160,220,901.02/15,223.50
  6. Step 6: Final answer
    x = 10,524.58

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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.