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Finding the Fourth Proportional to 6,962.32, 9,608.04 and 3,775.64

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Solution

The fourth proportional to 6,962.32, 9,608.04 and 3,775.64 is: 5,210.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.32 : 9,608.04 = 3,775.64 : x
  2. Step 2: Convert to fraction form
    6,962.32/9,608.04 = 3,775.64/x
  3. Step 3: Cross multiply
    6,962.32x = 9,608.04 × 3,775.64
  4. Step 4: Simplify right side
    6,962.32x = 36,276,500.15
  5. Step 5: Solve for x
    x = 36,276,500.15/6,962.32
  6. Step 6: Final answer
    x = 5,210.40

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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.