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Finding the Fourth Proportional to 16,430.96, 24,639.95 and 7,071.68

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Solution

The fourth proportional to 16,430.96, 24,639.95 and 7,071.68 is: 10,604.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430.96 : 24,639.95 = 7,071.68 : x
  2. Step 2: Convert to fraction form
    16,430.96/24,639.95 = 7,071.68/x
  3. Step 3: Cross multiply
    16,430.96x = 24,639.95 × 7,071.68
  4. Step 4: Simplify right side
    16,430.96x = 174,245,683.06
  5. Step 5: Solve for x
    x = 174,245,683.06/16,430.96
  6. Step 6: Final answer
    x = 10,604.72

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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.