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Finding the Fourth Proportional to 9,728.40, 14,592.46 and 6,600.64

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Solution

The fourth proportional to 9,728.40, 14,592.46 and 6,600.64 is: 9,900.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.40 : 14,592.46 = 6,600.64 : x
  2. Step 2: Convert to fraction form
    9,728.40/14,592.46 = 6,600.64/x
  3. Step 3: Cross multiply
    9,728.40x = 14,592.46 × 6,600.64
  4. Step 4: Simplify right side
    9,728.40x = 96,319,575.17
  5. Step 5: Solve for x
    x = 96,319,575.17/9,728.40
  6. Step 6: Final answer
    x = 9,900.87

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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.