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Finding the Fourth Proportional to 9,708.54, 14,538.10 and 6,416.70

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Solution

The fourth proportional to 9,708.54, 14,538.10 and 6,416.70 is: 9,608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.54 : 14,538.10 = 6,416.70 : x
  2. Step 2: Convert to fraction form
    9,708.54/14,538.10 = 6,416.70/x
  3. Step 3: Cross multiply
    9,708.54x = 14,538.10 × 6,416.70
  4. Step 4: Simplify right side
    9,708.54x = 93,286,626.27
  5. Step 5: Solve for x
    x = 93,286,626.27/9,708.54
  6. Step 6: Final answer
    x = 9,608.72

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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.