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Finding the Fourth Proportional to 7,752.62, 10,690.44 and 6,749.30

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Solution

The fourth proportional to 7,752.62, 10,690.44 and 6,749.30 is: 9,306.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.62 : 10,690.44 = 6,749.30 : x
  2. Step 2: Convert to fraction form
    7,752.62/10,690.44 = 6,749.30/x
  3. Step 3: Cross multiply
    7,752.62x = 10,690.44 × 6,749.30
  4. Step 4: Simplify right side
    7,752.62x = 72,152,986.69
  5. Step 5: Solve for x
    x = 72,152,986.69/7,752.62
  6. Step 6: Final answer
    x = 9,306.92

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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.