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Finding the Fourth Proportional to 7,771.60, 10,723.12 and 4,414.16

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Solution

The fourth proportional to 7,771.60, 10,723.12 and 4,414.16 is: 6,090.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.60 : 10,723.12 = 4,414.16 : x
  2. Step 2: Convert to fraction form
    7,771.60/10,723.12 = 4,414.16/x
  3. Step 3: Cross multiply
    7,771.60x = 10,723.12 × 4,414.16
  4. Step 4: Simplify right side
    7,771.60x = 47,333,567.38
  5. Step 5: Solve for x
    x = 47,333,567.38/7,771.60
  6. Step 6: Final answer
    x = 6,090.58

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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.