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Finding the Fourth Proportional to 7,052.84, 9,732.64 and 3,909.23

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Solution

The fourth proportional to 7,052.84, 9,732.64 and 3,909.23 is: 5,394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.84 : 9,732.64 = 3,909.23 : x
  2. Step 2: Convert to fraction form
    7,052.84/9,732.64 = 3,909.23/x
  3. Step 3: Cross multiply
    7,052.84x = 9,732.64 × 3,909.23
  4. Step 4: Simplify right side
    7,052.84x = 38,047,128.27
  5. Step 5: Solve for x
    x = 38,047,128.27/7,052.84
  6. Step 6: Final answer
    x = 5,394.58

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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.