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Finding the Fourth Proportional to 9,581.40, 14,339.70 and 9,581.40

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Solution

The fourth proportional to 9,581.40, 14,339.70 and 9,581.40 is: 14,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.40 : 14,339.70 = 9,581.40 : x
  2. Step 2: Convert to fraction form
    9,581.40/14,339.70 = 9,581.40/x
  3. Step 3: Cross multiply
    9,581.40x = 14,339.70 × 9,581.40
  4. Step 4: Simplify right side
    9,581.40x = 137,394,401.58
  5. Step 5: Solve for x
    x = 137,394,401.58/9,581.40
  6. Step 6: Final answer
    x = 14,339.70

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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.