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Finding the Fourth Proportional to 11,509.64, 17,253.54 and 7,337.94

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Solution

The fourth proportional to 11,509.64, 17,253.54 and 7,337.94 is: 10,999.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.64 : 17,253.54 = 7,337.94 : x
  2. Step 2: Convert to fraction form
    11,509.64/17,253.54 = 7,337.94/x
  3. Step 3: Cross multiply
    11,509.64x = 17,253.54 × 7,337.94
  4. Step 4: Simplify right side
    11,509.64x = 126,605,441.31
  5. Step 5: Solve for x
    x = 126,605,441.31/11,509.64
  6. Step 6: Final answer
    x = 10,999.95

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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.