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Finding the Fourth Proportional to 9,003.60, 13,461 and 7,632.24

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Solution

The fourth proportional to 9,003.60, 13,461 and 7,632.24 is: 11,410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,003.60 : 13,461 = 7,632.24 : x
  2. Step 2: Convert to fraction form
    9,003.60/13,461 = 7,632.24/x
  3. Step 3: Cross multiply
    9,003.60x = 13,461 × 7,632.24
  4. Step 4: Simplify right side
    9,003.60x = 102,737,582.64
  5. Step 5: Solve for x
    x = 102,737,582.64/9,003.60
  6. Step 6: Final answer
    x = 11,410.72

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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.