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Finding the Fourth Proportional to 9,609.96, 14,405.04 and 6,970.89

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Solution

The fourth proportional to 9,609.96, 14,405.04 and 6,970.89 is: 10,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.96 : 14,405.04 = 6,970.89 : x
  2. Step 2: Convert to fraction form
    9,609.96/14,405.04 = 6,970.89/x
  3. Step 3: Cross multiply
    9,609.96x = 14,405.04 × 6,970.89
  4. Step 4: Simplify right side
    9,609.96x = 100,415,949.29
  5. Step 5: Solve for x
    x = 100,415,949.29/9,609.96
  6. Step 6: Final answer
    x = 10,449.15

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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.