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Finding the Fourth Proportional to 9,076.80, 13,580.64 and 6,004.80

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Solution

The fourth proportional to 9,076.80, 13,580.64 and 6,004.80 is: 8,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.80 : 13,580.64 = 6,004.80 : x
  2. Step 2: Convert to fraction form
    9,076.80/13,580.64 = 6,004.80/x
  3. Step 3: Cross multiply
    9,076.80x = 13,580.64 × 6,004.80
  4. Step 4: Simplify right side
    9,076.80x = 81,549,027.07
  5. Step 5: Solve for x
    x = 81,549,027.07/9,076.80
  6. Step 6: Final answer
    x = 8,984.34

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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.