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Finding the Fourth Proportional to 9,580.44, 13,223.34 and 9,029.64

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Solution

The fourth proportional to 9,580.44, 13,223.34 and 9,029.64 is: 12,463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.44 : 13,223.34 = 9,029.64 : x
  2. Step 2: Convert to fraction form
    9,580.44/13,223.34 = 9,029.64/x
  3. Step 3: Cross multiply
    9,580.44x = 13,223.34 × 9,029.64
  4. Step 4: Simplify right side
    9,580.44x = 119,401,999.80
  5. Step 5: Solve for x
    x = 119,401,999.80/9,580.44
  6. Step 6: Final answer
    x = 12,463.10

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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.