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Finding the Fourth Proportional to 7,152.44, 9,869.07 and 4,503.38

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Solution

The fourth proportional to 7,152.44, 9,869.07 and 4,503.38 is: 6,213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.44 : 9,869.07 = 4,503.38 : x
  2. Step 2: Convert to fraction form
    7,152.44/9,869.07 = 4,503.38/x
  3. Step 3: Cross multiply
    7,152.44x = 9,869.07 × 4,503.38
  4. Step 4: Simplify right side
    7,152.44x = 44,444,172.46
  5. Step 5: Solve for x
    x = 44,444,172.46/7,152.44
  6. Step 6: Final answer
    x = 6,213.85

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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.