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Finding the Fourth Proportional to 11,754.38, 16,222.32 and 7,509.32

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Solution

The fourth proportional to 11,754.38, 16,222.32 and 7,509.32 is: 10,363.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.38 : 16,222.32 = 7,509.32 : x
  2. Step 2: Convert to fraction form
    11,754.38/16,222.32 = 7,509.32/x
  3. Step 3: Cross multiply
    11,754.38x = 16,222.32 × 7,509.32
  4. Step 4: Simplify right side
    11,754.38x = 121,818,592.02
  5. Step 5: Solve for x
    x = 121,818,592.02/11,754.38
  6. Step 6: Final answer
    x = 10,363.68

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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.