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Finding the Fourth Proportional to 7,771.10, 11,654.64 and 3,607.02

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Solution

The fourth proportional to 7,771.10, 11,654.64 and 3,607.02 is: 5,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.10 : 11,654.64 = 3,607.02 : x
  2. Step 2: Convert to fraction form
    7,771.10/11,654.64 = 3,607.02/x
  3. Step 3: Cross multiply
    7,771.10x = 11,654.64 × 3,607.02
  4. Step 4: Simplify right side
    7,771.10x = 42,038,519.57
  5. Step 5: Solve for x
    x = 42,038,519.57/7,771.10
  6. Step 6: Final answer
    x = 5,409.60

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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.