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Finding the Fourth Proportional to 10,768.32, 16,152.48 and 9,524.16

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Solution

The fourth proportional to 10,768.32, 16,152.48 and 9,524.16 is: 14,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.32 : 16,152.48 = 9,524.16 : x
  2. Step 2: Convert to fraction form
    10,768.32/16,152.48 = 9,524.16/x
  3. Step 3: Cross multiply
    10,768.32x = 16,152.48 × 9,524.16
  4. Step 4: Simplify right side
    10,768.32x = 153,838,803.92
  5. Step 5: Solve for x
    x = 153,838,803.92/10,768.32
  6. Step 6: Final answer
    x = 14,286.24

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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.