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Finding the Fourth Proportional to 9,744.96, 14,630.40 and 7,658.40

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Solution

The fourth proportional to 9,744.96, 14,630.40 and 7,658.40 is: 11,497.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.96 : 14,630.40 = 7,658.40 : x
  2. Step 2: Convert to fraction form
    9,744.96/14,630.40 = 7,658.40/x
  3. Step 3: Cross multiply
    9,744.96x = 14,630.40 × 7,658.40
  4. Step 4: Simplify right side
    9,744.96x = 112,045,455.36
  5. Step 5: Solve for x
    x = 112,045,455.36/9,744.96
  6. Step 6: Final answer
    x = 11,497.79

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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.