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Finding the Fourth Proportional to 10,947.40, 16,421.10 and 9,651.40

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Solution

The fourth proportional to 10,947.40, 16,421.10 and 9,651.40 is: 14,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.40 : 16,421.10 = 9,651.40 : x
  2. Step 2: Convert to fraction form
    10,947.40/16,421.10 = 9,651.40/x
  3. Step 3: Cross multiply
    10,947.40x = 16,421.10 × 9,651.40
  4. Step 4: Simplify right side
    10,947.40x = 158,486,604.54
  5. Step 5: Solve for x
    x = 158,486,604.54/10,947.40
  6. Step 6: Final answer
    x = 14,477.10

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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.