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Finding the Fourth Proportional to 7,052.94, 9,733.37 and 3,909.13

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Solution

The fourth proportional to 7,052.94, 9,733.37 and 3,909.13 is: 5,394.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.94 : 9,733.37 = 3,909.13 : x
  2. Step 2: Convert to fraction form
    7,052.94/9,733.37 = 3,909.13/x
  3. Step 3: Cross multiply
    7,052.94x = 9,733.37 × 3,909.13
  4. Step 4: Simplify right side
    7,052.94x = 38,048,964.79
  5. Step 5: Solve for x
    x = 38,048,964.79/7,052.94
  6. Step 6: Final answer
    x = 5,394.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.