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Finding the Fourth Proportional to 9,697.92, 14,548.32 and 4,766.88

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Solution

The fourth proportional to 9,697.92, 14,548.32 and 4,766.88 is: 7,151.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.92 : 14,548.32 = 4,766.88 : x
  2. Step 2: Convert to fraction form
    9,697.92/14,548.32 = 4,766.88/x
  3. Step 3: Cross multiply
    9,697.92x = 14,548.32 × 4,766.88
  4. Step 4: Simplify right side
    9,697.92x = 69,350,095.64
  5. Step 5: Solve for x
    x = 69,350,095.64/9,697.92
  6. Step 6: Final answer
    x = 7,151.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.