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Finding the Fourth Proportional to 9,674.20, 14,497.80 and 7,703.20

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Solution

The fourth proportional to 9,674.20, 14,497.80 and 7,703.20 is: 11,544.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.20 : 14,497.80 = 7,703.20 : x
  2. Step 2: Convert to fraction form
    9,674.20/14,497.80 = 7,703.20/x
  3. Step 3: Cross multiply
    9,674.20x = 14,497.80 × 7,703.20
  4. Step 4: Simplify right side
    9,674.20x = 111,679,452.96
  5. Step 5: Solve for x
    x = 111,679,452.96/9,674.20
  6. Step 6: Final answer
    x = 11,544.05

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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.