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Finding the Fourth Proportional to 11,697.32, 16,153.08 and 7,512.86

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Solution

The fourth proportional to 11,697.32, 16,153.08 and 7,512.86 is: 10,374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.32 : 16,153.08 = 7,512.86 : x
  2. Step 2: Convert to fraction form
    11,697.32/16,153.08 = 7,512.86/x
  3. Step 3: Cross multiply
    11,697.32x = 16,153.08 × 7,512.86
  4. Step 4: Simplify right side
    11,697.32x = 121,355,828.61
  5. Step 5: Solve for x
    x = 121,355,828.61/11,697.32
  6. Step 6: Final answer
    x = 10,374.67

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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.