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Finding the Fourth Proportional to 9,572.80, 14,326.80 and 8,406.40

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Solution

The fourth proportional to 9,572.80, 14,326.80 and 8,406.40 is: 12,581.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.80 : 14,326.80 = 8,406.40 : x
  2. Step 2: Convert to fraction form
    9,572.80/14,326.80 = 8,406.40/x
  3. Step 3: Cross multiply
    9,572.80x = 14,326.80 × 8,406.40
  4. Step 4: Simplify right side
    9,572.80x = 120,436,811.52
  5. Step 5: Solve for x
    x = 120,436,811.52/9,572.80
  6. Step 6: Final answer
    x = 12,581.15

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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.