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Finding the Fourth Proportional to 9,771.64, 14,662.60 and 5,332.48

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Solution

The fourth proportional to 9,771.64, 14,662.60 and 5,332.48 is: 8,001.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.64 : 14,662.60 = 5,332.48 : x
  2. Step 2: Convert to fraction form
    9,771.64/14,662.60 = 5,332.48/x
  3. Step 3: Cross multiply
    9,771.64x = 14,662.60 × 5,332.48
  4. Step 4: Simplify right side
    9,771.64x = 78,188,021.25
  5. Step 5: Solve for x
    x = 78,188,021.25/9,771.64
  6. Step 6: Final answer
    x = 8,001.52

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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.