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Finding the Fourth Proportional to 6,697.22, 9,253.64 and 6,460.70

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Solution

The fourth proportional to 6,697.22, 9,253.64 and 6,460.70 is: 8,926.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.22 : 9,253.64 = 6,460.70 : x
  2. Step 2: Convert to fraction form
    6,697.22/9,253.64 = 6,460.70/x
  3. Step 3: Cross multiply
    6,697.22x = 9,253.64 × 6,460.70
  4. Step 4: Simplify right side
    6,697.22x = 59,784,961.83
  5. Step 5: Solve for x
    x = 59,784,961.83/6,697.22
  6. Step 6: Final answer
    x = 8,926.84

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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.