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Finding the Fourth Proportional to 9,650.70, 14,483.75 and 8,280.18

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Solution

The fourth proportional to 9,650.70, 14,483.75 and 8,280.18 is: 12,426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.70 : 14,483.75 = 8,280.18 : x
  2. Step 2: Convert to fraction form
    9,650.70/14,483.75 = 8,280.18/x
  3. Step 3: Cross multiply
    9,650.70x = 14,483.75 × 8,280.18
  4. Step 4: Simplify right side
    9,650.70x = 119,928,015.67
  5. Step 5: Solve for x
    x = 119,928,015.67/9,650.70
  6. Step 6: Final answer
    x = 12,426.87

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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.