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Finding the Fourth Proportional to 7,052.99, 9,733.10 and 3,909.18

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Solution

The fourth proportional to 7,052.99, 9,733.10 and 3,909.18 is: 5,394.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.99 : 9,733.10 = 3,909.18 : x
  2. Step 2: Convert to fraction form
    7,052.99/9,733.10 = 3,909.18/x
  3. Step 3: Cross multiply
    7,052.99x = 9,733.10 × 3,909.18
  4. Step 4: Simplify right side
    7,052.99x = 38,048,439.86
  5. Step 5: Solve for x
    x = 38,048,439.86/7,052.99
  6. Step 6: Final answer
    x = 5,394.65

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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.