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Finding the Fourth Proportional to 9,352.16, 12,905.07 and 5,160.14

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Solution

The fourth proportional to 9,352.16, 12,905.07 and 5,160.14 is: 7,120.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.16 : 12,905.07 = 5,160.14 : x
  2. Step 2: Convert to fraction form
    9,352.16/12,905.07 = 5,160.14/x
  3. Step 3: Cross multiply
    9,352.16x = 12,905.07 × 5,160.14
  4. Step 4: Simplify right side
    9,352.16x = 66,591,967.91
  5. Step 5: Solve for x
    x = 66,591,967.91/9,352.16
  6. Step 6: Final answer
    x = 7,120.49

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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.