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Finding the Fourth Proportional to 9,739.40, 14,609.10 and 3,502.40

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Solution

The fourth proportional to 9,739.40, 14,609.10 and 3,502.40 is: 5,253.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.40 : 14,609.10 = 3,502.40 : x
  2. Step 2: Convert to fraction form
    9,739.40/14,609.10 = 3,502.40/x
  3. Step 3: Cross multiply
    9,739.40x = 14,609.10 × 3,502.40
  4. Step 4: Simplify right side
    9,739.40x = 51,166,911.84
  5. Step 5: Solve for x
    x = 51,166,911.84/9,739.40
  6. Step 6: Final answer
    x = 5,253.60

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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.