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Finding the Fourth Proportional to 7,797.60, 10,760.76 and 4,654.08

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Solution

The fourth proportional to 7,797.60, 10,760.76 and 4,654.08 is: 6,422.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.60 : 10,760.76 = 4,654.08 : x
  2. Step 2: Convert to fraction form
    7,797.60/10,760.76 = 4,654.08/x
  3. Step 3: Cross multiply
    7,797.60x = 10,760.76 × 4,654.08
  4. Step 4: Simplify right side
    7,797.60x = 50,081,437.90
  5. Step 5: Solve for x
    x = 50,081,437.90/7,797.60
  6. Step 6: Final answer
    x = 6,422.67

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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.