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Finding the Fourth Proportional to 9,612.54, 14,419.08 and 5,708.34

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Solution

The fourth proportional to 9,612.54, 14,419.08 and 5,708.34 is: 8,562.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.54 : 14,419.08 = 5,708.34 : x
  2. Step 2: Convert to fraction form
    9,612.54/14,419.08 = 5,708.34/x
  3. Step 3: Cross multiply
    9,612.54x = 14,419.08 × 5,708.34
  4. Step 4: Simplify right side
    9,612.54x = 82,309,011.13
  5. Step 5: Solve for x
    x = 82,309,011.13/9,612.54
  6. Step 6: Final answer
    x = 8,562.67

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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.