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Finding the Fourth Proportional to 9,153.76, 12,627.94 and 5,375.70

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Solution

The fourth proportional to 9,153.76, 12,627.94 and 5,375.70 is: 7,415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.76 : 12,627.94 = 5,375.70 : x
  2. Step 2: Convert to fraction form
    9,153.76/12,627.94 = 5,375.70/x
  3. Step 3: Cross multiply
    9,153.76x = 12,627.94 × 5,375.70
  4. Step 4: Simplify right side
    9,153.76x = 67,884,017.06
  5. Step 5: Solve for x
    x = 67,884,017.06/9,153.76
  6. Step 6: Final answer
    x = 7,415.97

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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.